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Finding the Fourth Proportional to 647,246.30, 970,869.45 and 435,739.10

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Solution

The fourth proportional to 647,246.30, 970,869.45 and 435,739.10 is: 653,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,246.30 : 970,869.45 = 435,739.10 : x
  2. Step 2: Convert to fraction form
    647,246.30/970,869.45 = 435,739.10/x
  3. Step 3: Cross multiply
    647,246.30x = 970,869.45 × 435,739.10
  4. Step 4: Simplify right side
    647,246.30x = 423,045,780,360.50
  5. Step 5: Solve for x
    x = 423,045,780,360.50/647,246.30
  6. Step 6: Final answer
    x = 653,608.65

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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.