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Finding the Fourth Proportional to 472,921.65, 709,382.48 and 173,422.53

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Solution

The fourth proportional to 472,921.65, 709,382.48 and 173,422.53 is: 260,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,921.65 : 709,382.48 = 173,422.53 : x
  2. Step 2: Convert to fraction form
    472,921.65/709,382.48 = 173,422.53/x
  3. Step 3: Cross multiply
    472,921.65x = 709,382.48 × 173,422.53
  4. Step 4: Simplify right side
    472,921.65x = 123,022,903,552.16
  5. Step 5: Solve for x
    x = 123,022,903,552.16/472,921.65
  6. Step 6: Final answer
    x = 260,133.80

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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.