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Finding the Fourth Proportional to 395,594.40, 593,852.40 and 238,000.80

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Solution

The fourth proportional to 395,594.40, 593,852.40 and 238,000.80 is: 357,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,594.40 : 593,852.40 = 238,000.80 : x
  2. Step 2: Convert to fraction form
    395,594.40/593,852.40 = 238,000.80/x
  3. Step 3: Cross multiply
    395,594.40x = 593,852.40 × 238,000.80
  4. Step 4: Simplify right side
    395,594.40x = 141,337,346,281.92
  5. Step 5: Solve for x
    x = 141,337,346,281.92/395,594.40
  6. Step 6: Final answer
    x = 357,278.43

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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.