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Finding the Fourth Proportional to 402,597.60, 603,205.20 and 191,781.60

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Solution

The fourth proportional to 402,597.60, 603,205.20 and 191,781.60 is: 287,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,597.60 : 603,205.20 = 191,781.60 : x
  2. Step 2: Convert to fraction form
    402,597.60/603,205.20 = 191,781.60/x
  3. Step 3: Cross multiply
    402,597.60x = 603,205.20 × 191,781.60
  4. Step 4: Simplify right side
    402,597.60x = 115,683,658,384.32
  5. Step 5: Solve for x
    x = 115,683,658,384.32/402,597.60
  6. Step 6: Final answer
    x = 287,343.14

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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.