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Finding the Fourth Proportional to 242,798.40, 363,614.40 and 232,300.80

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Solution

The fourth proportional to 242,798.40, 363,614.40 and 232,300.80 is: 347,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,798.40 : 363,614.40 = 232,300.80 : x
  2. Step 2: Convert to fraction form
    242,798.40/363,614.40 = 232,300.80/x
  3. Step 3: Cross multiply
    242,798.40x = 363,614.40 × 232,300.80
  4. Step 4: Simplify right side
    242,798.40x = 84,467,916,011.52
  5. Step 5: Solve for x
    x = 84,467,916,011.52/242,798.40
  6. Step 6: Final answer
    x = 347,893.22

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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.