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Finding the Fourth Proportional to 397,705.88, 596,560.06 and 98,186.50

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Solution

The fourth proportional to 397,705.88, 596,560.06 and 98,186.50 is: 147,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,705.88 : 596,560.06 = 98,186.50 : x
  2. Step 2: Convert to fraction form
    397,705.88/596,560.06 = 98,186.50/x
  3. Step 3: Cross multiply
    397,705.88x = 596,560.06 × 98,186.50
  4. Step 4: Simplify right side
    397,705.88x = 58,574,141,291.67
  5. Step 5: Solve for x
    x = 58,574,141,291.67/397,705.88
  6. Step 6: Final answer
    x = 147,280.05

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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.