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Finding the Fourth Proportional to 301,712.19, 452,572.43 and 77,074.48

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Solution

The fourth proportional to 301,712.19, 452,572.43 and 77,074.48 is: 115,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,712.19 : 452,572.43 = 77,074.48 : x
  2. Step 2: Convert to fraction form
    301,712.19/452,572.43 = 77,074.48/x
  3. Step 3: Cross multiply
    301,712.19x = 452,572.43 × 77,074.48
  4. Step 4: Simplify right side
    301,712.19x = 34,881,784,704.59
  5. Step 5: Solve for x
    x = 34,881,784,704.59/301,712.19
  6. Step 6: Final answer
    x = 115,612.78

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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.