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Finding the Fourth Proportional to 411,527.30, 618,603.15 and 387,907.70

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Solution

The fourth proportional to 411,527.30, 618,603.15 and 387,907.70 is: 583,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,527.30 : 618,603.15 = 387,907.70 : x
  2. Step 2: Convert to fraction form
    411,527.30/618,603.15 = 387,907.70/x
  3. Step 3: Cross multiply
    411,527.30x = 618,603.15 × 387,907.70
  4. Step 4: Simplify right side
    411,527.30x = 239,960,925,129.26
  5. Step 5: Solve for x
    x = 239,960,925,129.26/411,527.30
  6. Step 6: Final answer
    x = 583,098.44

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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.