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Finding the Fourth Proportional to 576,201.40, 864,302.10 and 497,404.60

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Solution

The fourth proportional to 576,201.40, 864,302.10 and 497,404.60 is: 746,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,201.40 : 864,302.10 = 497,404.60 : x
  2. Step 2: Convert to fraction form
    576,201.40/864,302.10 = 497,404.60/x
  3. Step 3: Cross multiply
    576,201.40x = 864,302.10 × 497,404.60
  4. Step 4: Simplify right side
    576,201.40x = 429,907,840,329.66
  5. Step 5: Solve for x
    x = 429,907,840,329.66/576,201.40
  6. Step 6: Final answer
    x = 746,106.90

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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.