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Finding the Fourth Proportional to 506,468.12, 759,421.71 and 207,158.87

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Solution

The fourth proportional to 506,468.12, 759,421.71 and 207,158.87 is: 310,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,468.12 : 759,421.71 = 207,158.87 : x
  2. Step 2: Convert to fraction form
    506,468.12/759,421.71 = 207,158.87/x
  3. Step 3: Cross multiply
    506,468.12x = 759,421.71 × 207,158.87
  4. Step 4: Simplify right side
    506,468.12x = 157,320,945,195.62
  5. Step 5: Solve for x
    x = 157,320,945,195.62/506,468.12
  6. Step 6: Final answer
    x = 310,623.59

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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.