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Finding the Fourth Proportional to 484,318.16, 726,322.86 and 160,045.86

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Solution

The fourth proportional to 484,318.16, 726,322.86 and 160,045.86 is: 240,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,318.16 : 726,322.86 = 160,045.86 : x
  2. Step 2: Convert to fraction form
    484,318.16/726,322.86 = 160,045.86/x
  3. Step 3: Cross multiply
    484,318.16x = 726,322.86 × 160,045.86
  4. Step 4: Simplify right side
    484,318.16x = 116,244,964,097.48
  5. Step 5: Solve for x
    x = 116,244,964,097.48/484,318.16
  6. Step 6: Final answer
    x = 240,017.77

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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.