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Finding the Fourth Proportional to 514,423.44, 710,150.49 and 342,627.30

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Solution

The fourth proportional to 514,423.44, 710,150.49 and 342,627.30 is: 472,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,423.44 : 710,150.49 = 342,627.30 : x
  2. Step 2: Convert to fraction form
    514,423.44/710,150.49 = 342,627.30/x
  3. Step 3: Cross multiply
    514,423.44x = 710,150.49 × 342,627.30
  4. Step 4: Simplify right side
    514,423.44x = 243,316,944,982.38
  5. Step 5: Solve for x
    x = 243,316,944,982.38/514,423.44
  6. Step 6: Final answer
    x = 472,989.62

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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.