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Finding the Fourth Proportional to 432,610.77, 596,159.78 and 311,523.47

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Solution

The fourth proportional to 432,610.77, 596,159.78 and 311,523.47 is: 429,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,610.77 : 596,159.78 = 311,523.47 : x
  2. Step 2: Convert to fraction form
    432,610.77/596,159.78 = 311,523.47/x
  3. Step 3: Cross multiply
    432,610.77x = 596,159.78 × 311,523.47
  4. Step 4: Simplify right side
    432,610.77x = 185,717,760,359.24
  5. Step 5: Solve for x
    x = 185,717,760,359.24/432,610.77
  6. Step 6: Final answer
    x = 429,295.28

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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.