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Finding the Fourth Proportional to 233,223.20, 349,859.76 and 64,744.24

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Solution

The fourth proportional to 233,223.20, 349,859.76 and 64,744.24 is: 97,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,223.20 : 349,859.76 = 64,744.24 : x
  2. Step 2: Convert to fraction form
    233,223.20/349,859.76 = 64,744.24/x
  3. Step 3: Cross multiply
    233,223.20x = 349,859.76 × 64,744.24
  4. Step 4: Simplify right side
    233,223.20x = 22,651,404,267.78
  5. Step 5: Solve for x
    x = 22,651,404,267.78/233,223.20
  6. Step 6: Final answer
    x = 97,123.29

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1.5x scale

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.