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Finding the Fourth Proportional to 650,089.96, 897,102.43 and 359,702.06

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Solution

The fourth proportional to 650,089.96, 897,102.43 and 359,702.06 is: 496,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,089.96 : 897,102.43 = 359,702.06 : x
  2. Step 2: Convert to fraction form
    650,089.96/897,102.43 = 359,702.06/x
  3. Step 3: Cross multiply
    650,089.96x = 897,102.43 × 359,702.06
  4. Step 4: Simplify right side
    650,089.96x = 322,689,586,717.24
  5. Step 5: Solve for x
    x = 322,689,586,717.24/650,089.96
  6. Step 6: Final answer
    x = 496,376.82

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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.