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Finding the Fourth Proportional to 475,782.61, 713,675.15 and 160,461.01

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Solution

The fourth proportional to 475,782.61, 713,675.15 and 160,461.01 is: 240,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,782.61 : 713,675.15 = 160,461.01 : x
  2. Step 2: Convert to fraction form
    475,782.61/713,675.15 = 160,461.01/x
  3. Step 3: Cross multiply
    475,782.61x = 713,675.15 × 160,461.01
  4. Step 4: Simplify right side
    475,782.61x = 114,517,035,380.90
  5. Step 5: Solve for x
    x = 114,517,035,380.90/475,782.61
  6. Step 6: Final answer
    x = 240,691.93

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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.