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Finding the Fourth Proportional to 514,400.22, 709,864.58 and 284,956.80

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Solution

The fourth proportional to 514,400.22, 709,864.58 and 284,956.80 is: 393,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,400.22 : 709,864.58 = 284,956.80 : x
  2. Step 2: Convert to fraction form
    514,400.22/709,864.58 = 284,956.80/x
  3. Step 3: Cross multiply
    514,400.22x = 709,864.58 × 284,956.80
  4. Step 4: Simplify right side
    514,400.22x = 202,280,739,150.14
  5. Step 5: Solve for x
    x = 202,280,739,150.14/514,400.22
  6. Step 6: Final answer
    x = 393,236.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.