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Finding the Fourth Proportional to 473,193.60, 709,790.40 and 447,532.80

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Solution

The fourth proportional to 473,193.60, 709,790.40 and 447,532.80 is: 671,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,193.60 : 709,790.40 = 447,532.80 : x
  2. Step 2: Convert to fraction form
    473,193.60/709,790.40 = 447,532.80/x
  3. Step 3: Cross multiply
    473,193.60x = 709,790.40 × 447,532.80
  4. Step 4: Simplify right side
    473,193.60x = 317,654,485,125.12
  5. Step 5: Solve for x
    x = 317,654,485,125.12/473,193.60
  6. Step 6: Final answer
    x = 671,299.20

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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.