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Finding the Fourth Proportional to 533,178.58, 735,787.90 and 291,464.04

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Solution

The fourth proportional to 533,178.58, 735,787.90 and 291,464.04 is: 402,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,178.58 : 735,787.90 = 291,464.04 : x
  2. Step 2: Convert to fraction form
    533,178.58/735,787.90 = 291,464.04/x
  3. Step 3: Cross multiply
    533,178.58x = 735,787.90 × 291,464.04
  4. Step 4: Simplify right side
    533,178.58x = 214,455,713,917.12
  5. Step 5: Solve for x
    x = 214,455,713,917.12/533,178.58
  6. Step 6: Final answer
    x = 402,221.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.