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Finding the Fourth Proportional to 415,677.96, 623,502.36 and 116,156.16

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Solution

The fourth proportional to 415,677.96, 623,502.36 and 116,156.16 is: 174,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,677.96 : 623,502.36 = 116,156.16 : x
  2. Step 2: Convert to fraction form
    415,677.96/623,502.36 = 116,156.16/x
  3. Step 3: Cross multiply
    415,677.96x = 623,502.36 × 116,156.16
  4. Step 4: Simplify right side
    415,677.96x = 72,423,639,888.54
  5. Step 5: Solve for x
    x = 72,423,639,888.54/415,677.96
  6. Step 6: Final answer
    x = 174,230.17

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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.