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Finding the Fourth Proportional to 506,971.95, 699,654.78 and 292,125.57

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Solution

The fourth proportional to 506,971.95, 699,654.78 and 292,125.57 is: 403,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,971.95 : 699,654.78 = 292,125.57 : x
  2. Step 2: Convert to fraction form
    506,971.95/699,654.78 = 292,125.57/x
  3. Step 3: Cross multiply
    506,971.95x = 699,654.78 × 292,125.57
  4. Step 4: Simplify right side
    506,971.95x = 204,387,051,410.73
  5. Step 5: Solve for x
    x = 204,387,051,410.73/506,971.95
  6. Step 6: Final answer
    x = 403,152.58

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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.