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Finding the Fourth Proportional to 497,427.30, 745,958.70 and 160,556.40

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Solution

The fourth proportional to 497,427.30, 745,958.70 and 160,556.40 is: 240,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,427.30 : 745,958.70 = 160,556.40 : x
  2. Step 2: Convert to fraction form
    497,427.30/745,958.70 = 160,556.40/x
  3. Step 3: Cross multiply
    497,427.30x = 745,958.70 × 160,556.40
  4. Step 4: Simplify right side
    497,427.30x = 119,768,443,420.68
  5. Step 5: Solve for x
    x = 119,768,443,420.68/497,427.30
  6. Step 6: Final answer
    x = 240,775.77

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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.