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Finding the Fourth Proportional to 494,547.59, 741,813.20 and 157,583.66

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Solution

The fourth proportional to 494,547.59, 741,813.20 and 157,583.66 is: 236,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,547.59 : 741,813.20 = 157,583.66 : x
  2. Step 2: Convert to fraction form
    494,547.59/741,813.20 = 157,583.66/x
  3. Step 3: Cross multiply
    494,547.59x = 741,813.20 × 157,583.66
  4. Step 4: Simplify right side
    494,547.59x = 116,897,641,340.80
  5. Step 5: Solve for x
    x = 116,897,641,340.80/494,547.59
  6. Step 6: Final answer
    x = 236,372.89

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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.