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Finding the Fourth Proportional to 475,782.60, 713,675.14 and 160,461

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Solution

The fourth proportional to 475,782.60, 713,675.14 and 160,461 is: 240,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,782.60 : 713,675.14 = 160,461 : x
  2. Step 2: Convert to fraction form
    475,782.60/713,675.14 = 160,461/x
  3. Step 3: Cross multiply
    475,782.60x = 713,675.14 × 160,461
  4. Step 4: Simplify right side
    475,782.60x = 114,517,026,639.54
  5. Step 5: Solve for x
    x = 114,517,026,639.54/475,782.60
  6. Step 6: Final answer
    x = 240,691.92

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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.