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Finding the Fourth Proportional to 314,237.72, 433,649.50 and 170,996.78

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Solution

The fourth proportional to 314,237.72, 433,649.50 and 170,996.78 is: 235,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,237.72 : 433,649.50 = 170,996.78 : x
  2. Step 2: Convert to fraction form
    314,237.72/433,649.50 = 170,996.78/x
  3. Step 3: Cross multiply
    314,237.72x = 433,649.50 × 170,996.78
  4. Step 4: Simplify right side
    314,237.72x = 74,152,668,148.61
  5. Step 5: Solve for x
    x = 74,152,668,148.61/314,237.72
  6. Step 6: Final answer
    x = 235,976.34

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1.5x scale

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.