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Finding the Fourth Proportional to 397,705.40, 596,559.32 and 98,186.01

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Solution

The fourth proportional to 397,705.40, 596,559.32 and 98,186.01 is: 147,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,705.40 : 596,559.32 = 98,186.01 : x
  2. Step 2: Convert to fraction form
    397,705.40/596,559.32 = 98,186.01/x
  3. Step 3: Cross multiply
    397,705.40x = 596,559.32 × 98,186.01
  4. Step 4: Simplify right side
    397,705.40x = 58,573,779,604.58
  5. Step 5: Solve for x
    x = 58,573,779,604.58/397,705.40
  6. Step 6: Final answer
    x = 147,279.32

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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.