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Finding the Fourth Proportional to 553,729.80, 830,787.42 and 174,709.02

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Solution

The fourth proportional to 553,729.80, 830,787.42 and 174,709.02 is: 262,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,729.80 : 830,787.42 = 174,709.02 : x
  2. Step 2: Convert to fraction form
    553,729.80/830,787.42 = 174,709.02/x
  3. Step 3: Cross multiply
    553,729.80x = 830,787.42 × 174,709.02
  4. Step 4: Simplify right side
    553,729.80x = 145,146,055,976.53
  5. Step 5: Solve for x
    x = 145,146,055,976.53/553,729.80
  6. Step 6: Final answer
    x = 262,124.34

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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.