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Finding the Fourth Proportional to 473,101.47, 709,662.26 and 169,515.40

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Solution

The fourth proportional to 473,101.47, 709,662.26 and 169,515.40 is: 254,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,101.47 : 709,662.26 = 169,515.40 : x
  2. Step 2: Convert to fraction form
    473,101.47/709,662.26 = 169,515.40/x
  3. Step 3: Cross multiply
    473,101.47x = 709,662.26 × 169,515.40
  4. Step 4: Simplify right side
    473,101.47x = 120,298,681,868.80
  5. Step 5: Solve for x
    x = 120,298,681,868.80/473,101.47
  6. Step 6: Final answer
    x = 254,276.70

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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.