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Finding the Fourth Proportional to 395,105.40, 592,656.48 and 158,278.68

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Solution

The fourth proportional to 395,105.40, 592,656.48 and 158,278.68 is: 237,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,105.40 : 592,656.48 = 158,278.68 : x
  2. Step 2: Convert to fraction form
    395,105.40/592,656.48 = 158,278.68/x
  3. Step 3: Cross multiply
    395,105.40x = 592,656.48 × 158,278.68
  4. Step 4: Simplify right side
    395,105.40x = 93,804,885,347.85
  5. Step 5: Solve for x
    x = 93,804,885,347.85/395,105.40
  6. Step 6: Final answer
    x = 237,417.37

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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.