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Finding the Fourth Proportional to 402,453.60, 602,989.20 and 191,637.60

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Solution

The fourth proportional to 402,453.60, 602,989.20 and 191,637.60 is: 287,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,453.60 : 602,989.20 = 191,637.60 : x
  2. Step 2: Convert to fraction form
    402,453.60/602,989.20 = 191,637.60/x
  3. Step 3: Cross multiply
    402,453.60x = 602,989.20 × 191,637.60
  4. Step 4: Simplify right side
    402,453.60x = 115,555,403,113.92
  5. Step 5: Solve for x
    x = 115,555,403,113.92/402,453.60
  6. Step 6: Final answer
    x = 287,127.27

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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.