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Finding the Fourth Proportional to 647,564.10, 971,346.15 and 544,920.90

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Solution

The fourth proportional to 647,564.10, 971,346.15 and 544,920.90 is: 817,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,564.10 : 971,346.15 = 544,920.90 : x
  2. Step 2: Convert to fraction form
    647,564.10/971,346.15 = 544,920.90/x
  3. Step 3: Cross multiply
    647,564.10x = 971,346.15 × 544,920.90
  4. Step 4: Simplify right side
    647,564.10x = 529,306,818,269.54
  5. Step 5: Solve for x
    x = 529,306,818,269.54/647,564.10
  6. Step 6: Final answer
    x = 817,381.35

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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.