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Finding the Fourth Proportional to 416,332.20, 624,498.30 and 410,111.40

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Solution

The fourth proportional to 416,332.20, 624,498.30 and 410,111.40 is: 615,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,332.20 : 624,498.30 = 410,111.40 : x
  2. Step 2: Convert to fraction form
    416,332.20/624,498.30 = 410,111.40/x
  3. Step 3: Cross multiply
    416,332.20x = 624,498.30 × 410,111.40
  4. Step 4: Simplify right side
    416,332.20x = 256,113,872,110.62
  5. Step 5: Solve for x
    x = 256,113,872,110.62/416,332.20
  6. Step 6: Final answer
    x = 615,167.10

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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.