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Finding the Fourth Proportional to 506,614.82, 759,641.42 and 207,305.24

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Solution

The fourth proportional to 506,614.82, 759,641.42 and 207,305.24 is: 310,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,614.82 : 759,641.42 = 207,305.24 : x
  2. Step 2: Convert to fraction form
    506,614.82/759,641.42 = 207,305.24/x
  3. Step 3: Cross multiply
    506,614.82x = 759,641.42 × 207,305.24
  4. Step 4: Simplify right side
    506,614.82x = 157,477,646,887.04
  5. Step 5: Solve for x
    x = 157,477,646,887.04/506,614.82
  6. Step 6: Final answer
    x = 310,842.95

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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.