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Finding the Fourth Proportional to 301,869.79, 452,820.17 and 77,232.16

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Solution

The fourth proportional to 301,869.79, 452,820.17 and 77,232.16 is: 115,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,869.79 : 452,820.17 = 77,232.16 : x
  2. Step 2: Convert to fraction form
    301,869.79/452,820.17 = 77,232.16/x
  3. Step 3: Cross multiply
    301,869.79x = 452,820.17 × 77,232.16
  4. Step 4: Simplify right side
    301,869.79x = 34,972,279,306.22
  5. Step 5: Solve for x
    x = 34,972,279,306.22/301,869.79
  6. Step 6: Final answer
    x = 115,852.20

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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.