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Finding the Fourth Proportional to 478,428.80, 717,643.20 and 329,129.60

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Solution

The fourth proportional to 478,428.80, 717,643.20 and 329,129.60 is: 493,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,428.80 : 717,643.20 = 329,129.60 : x
  2. Step 2: Convert to fraction form
    478,428.80/717,643.20 = 329,129.60/x
  3. Step 3: Cross multiply
    478,428.80x = 717,643.20 × 329,129.60
  4. Step 4: Simplify right side
    478,428.80x = 236,197,619,358.72
  5. Step 5: Solve for x
    x = 236,197,619,358.72/478,428.80
  6. Step 6: Final answer
    x = 493,694.40

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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.