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Finding the Fourth Proportional to 647,585.80, 971,378.70 and 410,223.40

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Solution

The fourth proportional to 647,585.80, 971,378.70 and 410,223.40 is: 615,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,585.80 : 971,378.70 = 410,223.40 : x
  2. Step 2: Convert to fraction form
    647,585.80/971,378.70 = 410,223.40/x
  3. Step 3: Cross multiply
    647,585.80x = 971,378.70 × 410,223.40
  4. Step 4: Simplify right side
    647,585.80x = 398,482,273,001.58
  5. Step 5: Solve for x
    x = 398,482,273,001.58/647,585.80
  6. Step 6: Final answer
    x = 615,335.10

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Similar ratio
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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.