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Finding the Fourth Proportional to 451,203.40, 676,805.10 and 402,214.60

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Solution

The fourth proportional to 451,203.40, 676,805.10 and 402,214.60 is: 603,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,203.40 : 676,805.10 = 402,214.60 : x
  2. Step 2: Convert to fraction form
    451,203.40/676,805.10 = 402,214.60/x
  3. Step 3: Cross multiply
    451,203.40x = 676,805.10 × 402,214.60
  4. Step 4: Simplify right side
    451,203.40x = 272,220,892,574.46
  5. Step 5: Solve for x
    x = 272,220,892,574.46/451,203.40
  6. Step 6: Final answer
    x = 603,321.90

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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.