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Finding the Fourth Proportional to 314,677.40, 471,841.12 and 104,200.52

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Solution

The fourth proportional to 314,677.40, 471,841.12 and 104,200.52 is: 156,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,677.40 : 471,841.12 = 104,200.52 : x
  2. Step 2: Convert to fraction form
    314,677.40/471,841.12 = 104,200.52/x
  3. Step 3: Cross multiply
    314,677.40x = 471,841.12 × 104,200.52
  4. Step 4: Simplify right side
    314,677.40x = 49,166,090,061.38
  5. Step 5: Solve for x
    x = 49,166,090,061.38/314,677.40
  6. Step 6: Final answer
    x = 156,242.84

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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.