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Finding the Fourth Proportional to 473,104.80, 709,657.20 and 224,272.80

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Solution

The fourth proportional to 473,104.80, 709,657.20 and 224,272.80 is: 336,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,104.80 : 709,657.20 = 224,272.80 : x
  2. Step 2: Convert to fraction form
    473,104.80/709,657.20 = 224,272.80/x
  3. Step 3: Cross multiply
    473,104.80x = 709,657.20 × 224,272.80
  4. Step 4: Simplify right side
    473,104.80x = 159,156,807,284.16
  5. Step 5: Solve for x
    x = 159,156,807,284.16/473,104.80
  6. Step 6: Final answer
    x = 336,409.20

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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.