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Finding the Fourth Proportional to 647,531.70, 971,297.55 and 174,264.90

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Solution

The fourth proportional to 647,531.70, 971,297.55 and 174,264.90 is: 261,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,531.70 : 971,297.55 = 174,264.90 : x
  2. Step 2: Convert to fraction form
    647,531.70/971,297.55 = 174,264.90/x
  3. Step 3: Cross multiply
    647,531.70x = 971,297.55 × 174,264.90
  4. Step 4: Simplify right side
    647,531.70x = 169,263,070,421.00
  5. Step 5: Solve for x
    x = 169,263,070,421.00/647,531.70
  6. Step 6: Final answer
    x = 261,397.35

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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.