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Finding the Fourth Proportional to 299,572.13, 413,354.76 and 170,502.98

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Solution

The fourth proportional to 299,572.13, 413,354.76 and 170,502.98 is: 235,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,572.13 : 413,354.76 = 170,502.98 : x
  2. Step 2: Convert to fraction form
    299,572.13/413,354.76 = 170,502.98/x
  3. Step 3: Cross multiply
    299,572.13x = 413,354.76 × 170,502.98
  4. Step 4: Simplify right side
    299,572.13x = 70,478,215,671.02
  5. Step 5: Solve for x
    x = 70,478,215,671.02/299,572.13
  6. Step 6: Final answer
    x = 235,262.92

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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.