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Finding the Fourth Proportional to 516,044.25, 712,141.47 and 289,762.65

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Solution

The fourth proportional to 516,044.25, 712,141.47 and 289,762.65 is: 399,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,044.25 : 712,141.47 = 289,762.65 : x
  2. Step 2: Convert to fraction form
    516,044.25/712,141.47 = 289,762.65/x
  3. Step 3: Cross multiply
    516,044.25x = 712,141.47 × 289,762.65
  4. Step 4: Simplify right side
    516,044.25x = 206,351,999,522.10
  5. Step 5: Solve for x
    x = 206,351,999,522.10/516,044.25
  6. Step 6: Final answer
    x = 399,872.68

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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.