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Finding the Fourth Proportional to 651,729.60, 977,594.40 and 427,780.80

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Solution

The fourth proportional to 651,729.60, 977,594.40 and 427,780.80 is: 641,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,729.60 : 977,594.40 = 427,780.80 : x
  2. Step 2: Convert to fraction form
    651,729.60/977,594.40 = 427,780.80/x
  3. Step 3: Cross multiply
    651,729.60x = 977,594.40 × 427,780.80
  4. Step 4: Simplify right side
    651,729.60x = 418,196,114,507.52
  5. Step 5: Solve for x
    x = 418,196,114,507.52/651,729.60
  6. Step 6: Final answer
    x = 641,671.20

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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.