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Finding the Fourth Proportional to 431,910.10, 596,031.86 and 238,319.56

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Solution

The fourth proportional to 431,910.10, 596,031.86 and 238,319.56 is: 328,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,910.10 : 596,031.86 = 238,319.56 : x
  2. Step 2: Convert to fraction form
    431,910.10/596,031.86 = 238,319.56/x
  3. Step 3: Cross multiply
    431,910.10x = 596,031.86 × 238,319.56
  4. Step 4: Simplify right side
    431,910.10x = 142,046,050,621.18
  5. Step 5: Solve for x
    x = 142,046,050,621.18/431,910.10
  6. Step 6: Final answer
    x = 328,878.74

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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.