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Finding the Fourth Proportional to 475,952.16, 713,930.70 and 160,411.80

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Solution

The fourth proportional to 475,952.16, 713,930.70 and 160,411.80 is: 240,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,952.16 : 713,930.70 = 160,411.80 : x
  2. Step 2: Convert to fraction form
    475,952.16/713,930.70 = 160,411.80/x
  3. Step 3: Cross multiply
    475,952.16x = 713,930.70 × 160,411.80
  4. Step 4: Simplify right side
    475,952.16x = 114,522,908,662.26
  5. Step 5: Solve for x
    x = 114,522,908,662.26/475,952.16
  6. Step 6: Final answer
    x = 240,618.53

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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.