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Finding the Fourth Proportional to 647,293.68, 970,053.84 and 410,802.30

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Solution

The fourth proportional to 647,293.68, 970,053.84 and 410,802.30 is: 615,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,293.68 : 970,053.84 = 410,802.30 : x
  2. Step 2: Convert to fraction form
    647,293.68/970,053.84 = 410,802.30/x
  3. Step 3: Cross multiply
    647,293.68x = 970,053.84 × 410,802.30
  4. Step 4: Simplify right side
    647,293.68x = 398,500,348,595.83
  5. Step 5: Solve for x
    x = 398,500,348,595.83/647,293.68
  6. Step 6: Final answer
    x = 615,640.72

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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.