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Finding the Fourth Proportional to 473,276.17, 709,493.22 and 173,688.16

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Solution

The fourth proportional to 473,276.17, 709,493.22 and 173,688.16 is: 260,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,276.17 : 709,493.22 = 173,688.16 : x
  2. Step 2: Convert to fraction form
    473,276.17/709,493.22 = 173,688.16/x
  3. Step 3: Cross multiply
    473,276.17x = 709,493.22 × 173,688.16
  4. Step 4: Simplify right side
    473,276.17x = 123,230,571,914.28
  5. Step 5: Solve for x
    x = 123,230,571,914.28/473,276.17
  6. Step 6: Final answer
    x = 260,377.72

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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.