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Finding the Fourth Proportional to 431,778.86, 596,319.54 and 328,704.74

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Solution

The fourth proportional to 431,778.86, 596,319.54 and 328,704.74 is: 453,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,778.86 : 596,319.54 = 328,704.74 : x
  2. Step 2: Convert to fraction form
    431,778.86/596,319.54 = 328,704.74/x
  3. Step 3: Cross multiply
    431,778.86x = 596,319.54 × 328,704.74
  4. Step 4: Simplify right side
    431,778.86x = 196,013,059,352.62
  5. Step 5: Solve for x
    x = 196,013,059,352.62/431,778.86
  6. Step 6: Final answer
    x = 453,966.32

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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.