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Finding the Fourth Proportional to 647,597.70, 971,396.55 and 597,831.30

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Solution

The fourth proportional to 647,597.70, 971,396.55 and 597,831.30 is: 896,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,597.70 : 971,396.55 = 597,831.30 : x
  2. Step 2: Convert to fraction form
    647,597.70/971,396.55 = 597,831.30/x
  3. Step 3: Cross multiply
    647,597.70x = 971,396.55 × 597,831.30
  4. Step 4: Simplify right side
    647,597.70x = 580,731,262,302.02
  5. Step 5: Solve for x
    x = 580,731,262,302.02/647,597.70
  6. Step 6: Final answer
    x = 896,746.95

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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.