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Finding the Fourth Proportional to 435,614.86, 601,140.69 and 242,023.44

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Solution

The fourth proportional to 435,614.86, 601,140.69 and 242,023.44 is: 333,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,614.86 : 601,140.69 = 242,023.44 : x
  2. Step 2: Convert to fraction form
    435,614.86/601,140.69 = 242,023.44/x
  3. Step 3: Cross multiply
    435,614.86x = 601,140.69 × 242,023.44
  4. Step 4: Simplify right side
    435,614.86x = 145,490,139,972.05
  5. Step 5: Solve for x
    x = 145,490,139,972.05/435,614.86
  6. Step 6: Final answer
    x = 333,988.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.