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Finding the Fourth Proportional to 432,178.32, 596,447.48 and 241,209.48

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Solution

The fourth proportional to 432,178.32, 596,447.48 and 241,209.48 is: 332,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,178.32 : 596,447.48 = 241,209.48 : x
  2. Step 2: Convert to fraction form
    432,178.32/596,447.48 = 241,209.48/x
  3. Step 3: Cross multiply
    432,178.32x = 596,447.48 × 241,209.48
  4. Step 4: Simplify right side
    432,178.32x = 143,868,786,498.11
  5. Step 5: Solve for x
    x = 143,868,786,498.11/432,178.32
  6. Step 6: Final answer
    x = 332,892.19

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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.