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Finding the Fourth Proportional to 407,506.23, 611,259.32 and 154,786.10

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Solution

The fourth proportional to 407,506.23, 611,259.32 and 154,786.10 is: 232,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,506.23 : 611,259.32 = 154,786.10 : x
  2. Step 2: Convert to fraction form
    407,506.23/611,259.32 = 154,786.10/x
  3. Step 3: Cross multiply
    407,506.23x = 611,259.32 × 154,786.10
  4. Step 4: Simplify right side
    407,506.23x = 94,614,443,929.37
  5. Step 5: Solve for x
    x = 94,614,443,929.37/407,506.23
  6. Step 6: Final answer
    x = 232,179.13

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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.