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Finding the Fourth Proportional to 318,926.80, 478,390.20 and 97,310.80

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Solution

The fourth proportional to 318,926.80, 478,390.20 and 97,310.80 is: 145,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,926.80 : 478,390.20 = 97,310.80 : x
  2. Step 2: Convert to fraction form
    318,926.80/478,390.20 = 97,310.80/x
  3. Step 3: Cross multiply
    318,926.80x = 478,390.20 × 97,310.80
  4. Step 4: Simplify right side
    318,926.80x = 46,552,533,074.16
  5. Step 5: Solve for x
    x = 46,552,533,074.16/318,926.80
  6. Step 6: Final answer
    x = 145,966.20

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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.