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Finding the Fourth Proportional to 417,176.10, 625,764.15 and 312,200.10

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Solution

The fourth proportional to 417,176.10, 625,764.15 and 312,200.10 is: 468,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,176.10 : 625,764.15 = 312,200.10 : x
  2. Step 2: Convert to fraction form
    417,176.10/625,764.15 = 312,200.10/x
  3. Step 3: Cross multiply
    417,176.10x = 625,764.15 × 312,200.10
  4. Step 4: Simplify right side
    417,176.10x = 195,363,630,206.42
  5. Step 5: Solve for x
    x = 195,363,630,206.42/417,176.10
  6. Step 6: Final answer
    x = 468,300.15

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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.