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Finding the Fourth Proportional to 483,206.10, 724,809.15 and 413,222.10

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Solution

The fourth proportional to 483,206.10, 724,809.15 and 413,222.10 is: 619,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,206.10 : 724,809.15 = 413,222.10 : x
  2. Step 2: Convert to fraction form
    483,206.10/724,809.15 = 413,222.10/x
  3. Step 3: Cross multiply
    483,206.10x = 724,809.15 × 413,222.10
  4. Step 4: Simplify right side
    483,206.10x = 299,507,159,062.22
  5. Step 5: Solve for x
    x = 299,507,159,062.22/483,206.10
  6. Step 6: Final answer
    x = 619,833.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.