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Finding the Fourth Proportional to 461,417.30, 692,233.59 and 157,813.81

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Solution

The fourth proportional to 461,417.30, 692,233.59 and 157,813.81 is: 236,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,417.30 : 692,233.59 = 157,813.81 : x
  2. Step 2: Convert to fraction form
    461,417.30/692,233.59 = 157,813.81/x
  3. Step 3: Cross multiply
    461,417.30x = 692,233.59 × 157,813.81
  4. Step 4: Simplify right side
    461,417.30x = 109,244,018,517.29
  5. Step 5: Solve for x
    x = 109,244,018,517.29/461,417.30
  6. Step 6: Final answer
    x = 236,757.53

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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.