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Finding the Fourth Proportional to 650,509.38, 897,702.89 and 364,084.74

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Solution

The fourth proportional to 650,509.38, 897,702.89 and 364,084.74 is: 502,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,509.38 : 897,702.89 = 364,084.74 : x
  2. Step 2: Convert to fraction form
    650,509.38/897,702.89 = 364,084.74/x
  3. Step 3: Cross multiply
    650,509.38x = 897,702.89 × 364,084.74
  4. Step 4: Simplify right side
    650,509.38x = 326,839,921,482.48
  5. Step 5: Solve for x
    x = 326,839,921,482.48/650,509.38
  6. Step 6: Final answer
    x = 502,436.91

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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.