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Finding the Fourth Proportional to 506,605.32, 759,627.18 and 207,295.74

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Solution

The fourth proportional to 506,605.32, 759,627.18 and 207,295.74 is: 310,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,605.32 : 759,627.18 = 207,295.74 : x
  2. Step 2: Convert to fraction form
    506,605.32/759,627.18 = 207,295.74/x
  3. Step 3: Cross multiply
    506,605.32x = 759,627.18 × 207,295.74
  4. Step 4: Simplify right side
    506,605.32x = 157,467,478,402.21
  5. Step 5: Solve for x
    x = 157,467,478,402.21/506,605.32
  6. Step 6: Final answer
    x = 310,828.71

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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.