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Finding the Fourth Proportional to 314,700.80, 472,029.60 and 101,465.60

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Solution

The fourth proportional to 314,700.80, 472,029.60 and 101,465.60 is: 152,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,700.80 : 472,029.60 = 101,465.60 : x
  2. Step 2: Convert to fraction form
    314,700.80/472,029.60 = 101,465.60/x
  3. Step 3: Cross multiply
    314,700.80x = 472,029.60 × 101,465.60
  4. Step 4: Simplify right side
    314,700.80x = 47,894,766,581.76
  5. Step 5: Solve for x
    x = 47,894,766,581.76/314,700.80
  6. Step 6: Final answer
    x = 152,191.44

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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.