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Finding the Fourth Proportional to 506,970.38, 699,774.87 and 292,253.98

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Solution

The fourth proportional to 506,970.38, 699,774.87 and 292,253.98 is: 403,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,970.38 : 699,774.87 = 292,253.98 : x
  2. Step 2: Convert to fraction form
    506,970.38/699,774.87 = 292,253.98/x
  3. Step 3: Cross multiply
    506,970.38x = 699,774.87 × 292,253.98
  4. Step 4: Simplify right side
    506,970.38x = 204,511,990,861.48
  5. Step 5: Solve for x
    x = 204,511,990,861.48/506,970.38
  6. Step 6: Final answer
    x = 403,400.28

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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.