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Finding the Fourth Proportional to 397,708.13, 596,563.43 and 98,188.74

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Solution

The fourth proportional to 397,708.13, 596,563.43 and 98,188.74 is: 147,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,708.13 : 596,563.43 = 98,188.74 : x
  2. Step 2: Convert to fraction form
    397,708.13/596,563.43 = 98,188.74/x
  3. Step 3: Cross multiply
    397,708.13x = 596,563.43 × 98,188.74
  4. Step 4: Simplify right side
    397,708.13x = 58,575,811,030.83
  5. Step 5: Solve for x
    x = 58,575,811,030.83/397,708.13
  6. Step 6: Final answer
    x = 147,283.41

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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.