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Finding the Fourth Proportional to 478,810.20, 717,632.10 and 212,287.80

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Solution

The fourth proportional to 478,810.20, 717,632.10 and 212,287.80 is: 318,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,810.20 : 717,632.10 = 212,287.80 : x
  2. Step 2: Convert to fraction form
    478,810.20/717,632.10 = 212,287.80/x
  3. Step 3: Cross multiply
    478,810.20x = 717,632.10 × 212,287.80
  4. Step 4: Simplify right side
    478,810.20x = 152,344,539,718.38
  5. Step 5: Solve for x
    x = 152,344,539,718.38/478,810.20
  6. Step 6: Final answer
    x = 318,173.13

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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.