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Finding the Fourth Proportional to 398,218.30, 597,319.77 and 98,699.50

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Solution

The fourth proportional to 398,218.30, 597,319.77 and 98,699.50 is: 148,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,218.30 : 597,319.77 = 98,699.50 : x
  2. Step 2: Convert to fraction form
    398,218.30/597,319.77 = 98,699.50/x
  3. Step 3: Cross multiply
    398,218.30x = 597,319.77 × 98,699.50
  4. Step 4: Simplify right side
    398,218.30x = 58,955,162,639.12
  5. Step 5: Solve for x
    x = 58,955,162,639.12/398,218.30
  6. Step 6: Final answer
    x = 148,047.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.