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Finding the Fourth Proportional to 398,188.00, 597,045.84 and 158,172.95

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Solution

The fourth proportional to 398,188.00, 597,045.84 and 158,172.95 is: 237,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,188.00 : 597,045.84 = 158,172.95 : x
  2. Step 2: Convert to fraction form
    398,188.00/597,045.84 = 158,172.95/x
  3. Step 3: Cross multiply
    398,188.00x = 597,045.84 × 158,172.95
  4. Step 4: Simplify right side
    398,188.00x = 94,436,502,697.49
  5. Step 5: Solve for x
    x = 94,436,502,697.49/398,188.00
  6. Step 6: Final answer
    x = 237,165.62

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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.