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Finding the Fourth Proportional to 491,711.60, 737,567.40 and 470,975.60

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Solution

The fourth proportional to 491,711.60, 737,567.40 and 470,975.60 is: 706,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,711.60 : 737,567.40 = 470,975.60 : x
  2. Step 2: Convert to fraction form
    491,711.60/737,567.40 = 470,975.60/x
  3. Step 3: Cross multiply
    491,711.60x = 737,567.40 × 470,975.60
  4. Step 4: Simplify right side
    491,711.60x = 347,376,248,755.44
  5. Step 5: Solve for x
    x = 347,376,248,755.44/491,711.60
  6. Step 6: Final answer
    x = 706,463.40

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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.