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Finding the Fourth Proportional to 488,214.40, 732,753.60 and 288,284.80

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Solution

The fourth proportional to 488,214.40, 732,753.60 and 288,284.80 is: 432,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,214.40 : 732,753.60 = 288,284.80 : x
  2. Step 2: Convert to fraction form
    488,214.40/732,753.60 = 288,284.80/x
  3. Step 3: Cross multiply
    488,214.40x = 732,753.60 × 288,284.80
  4. Step 4: Simplify right side
    488,214.40x = 211,241,725,025.28
  5. Step 5: Solve for x
    x = 211,241,725,025.28/488,214.40
  6. Step 6: Final answer
    x = 432,682.29

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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.