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Finding the Fourth Proportional to 516,052.80, 774,115.74 and 136,970.46

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Solution

The fourth proportional to 516,052.80, 774,115.74 and 136,970.46 is: 205,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,052.80 : 774,115.74 = 136,970.46 : x
  2. Step 2: Convert to fraction form
    516,052.80/774,115.74 = 136,970.46/x
  3. Step 3: Cross multiply
    516,052.80x = 774,115.74 × 136,970.46
  4. Step 4: Simplify right side
    516,052.80x = 106,030,989,001.04
  5. Step 5: Solve for x
    x = 106,030,989,001.04/516,052.80
  6. Step 6: Final answer
    x = 205,465.39

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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.