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Finding the Fourth Proportional to 507,154.57, 699,714.86 and 292,265.42

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Solution

The fourth proportional to 507,154.57, 699,714.86 and 292,265.42 is: 403,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,154.57 : 699,714.86 = 292,265.42 : x
  2. Step 2: Convert to fraction form
    507,154.57/699,714.86 = 292,265.42/x
  3. Step 3: Cross multiply
    507,154.57x = 699,714.86 × 292,265.42
  4. Step 4: Simplify right side
    507,154.57x = 204,502,452,478.24
  5. Step 5: Solve for x
    x = 204,502,452,478.24/507,154.57
  6. Step 6: Final answer
    x = 403,234.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.