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Finding the Fourth Proportional to 363,746.88, 545,705.92 and 114,428.80

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Solution

The fourth proportional to 363,746.88, 545,705.92 and 114,428.80 is: 171,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,746.88 : 545,705.92 = 114,428.80 : x
  2. Step 2: Convert to fraction form
    363,746.88/545,705.92 = 114,428.80/x
  3. Step 3: Cross multiply
    363,746.88x = 545,705.92 × 114,428.80
  4. Step 4: Simplify right side
    363,746.88x = 62,444,473,578.50
  5. Step 5: Solve for x
    x = 62,444,473,578.50/363,746.88
  6. Step 6: Final answer
    x = 171,670.13

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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.