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Finding the Fourth Proportional to 647,952.32, 971,862.84 and 174,685.52

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Solution

The fourth proportional to 647,952.32, 971,862.84 and 174,685.52 is: 262,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,952.32 : 971,862.84 = 174,685.52 : x
  2. Step 2: Convert to fraction form
    647,952.32/971,862.84 = 174,685.52/x
  3. Step 3: Cross multiply
    647,952.32x = 971,862.84 × 174,685.52
  4. Step 4: Simplify right side
    647,952.32x = 169,770,360,714.76
  5. Step 5: Solve for x
    x = 169,770,360,714.76/647,952.32
  6. Step 6: Final answer
    x = 262,010.58

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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.