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Finding the Fourth Proportional to 472,291.20, 709,819.20 and 411,465.60

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Solution

The fourth proportional to 472,291.20, 709,819.20 and 411,465.60 is: 618,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,291.20 : 709,819.20 = 411,465.60 : x
  2. Step 2: Convert to fraction form
    472,291.20/709,819.20 = 411,465.60/x
  3. Step 3: Cross multiply
    472,291.20x = 709,819.20 × 411,465.60
  4. Step 4: Simplify right side
    472,291.20x = 292,066,183,019.52
  5. Step 5: Solve for x
    x = 292,066,183,019.52/472,291.20
  6. Step 6: Final answer
    x = 618,402.76

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1.5x scale

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.