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Finding the Fourth Proportional to 514,406.24, 709,872.88 and 284,962.80

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Solution

The fourth proportional to 514,406.24, 709,872.88 and 284,962.80 is: 393,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,406.24 : 709,872.88 = 284,962.80 : x
  2. Step 2: Convert to fraction form
    514,406.24/709,872.88 = 284,962.80/x
  3. Step 3: Cross multiply
    514,406.24x = 709,872.88 × 284,962.80
  4. Step 4: Simplify right side
    514,406.24x = 202,287,363,528.86
  5. Step 5: Solve for x
    x = 202,287,363,528.86/514,406.24
  6. Step 6: Final answer
    x = 393,244.38

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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.