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Finding the Fourth Proportional to 397,337.09, 596,000.04 and 97,820.15

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Solution

The fourth proportional to 397,337.09, 596,000.04 and 97,820.15 is: 146,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,337.09 : 596,000.04 = 97,820.15 : x
  2. Step 2: Convert to fraction form
    397,337.09/596,000.04 = 97,820.15/x
  3. Step 3: Cross multiply
    397,337.09x = 596,000.04 × 97,820.15
  4. Step 4: Simplify right side
    397,337.09x = 58,300,810,332.81
  5. Step 5: Solve for x
    x = 58,300,810,332.81/397,337.09
  6. Step 6: Final answer
    x = 146,728.84

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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.