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Finding the Fourth Proportional to 432,115.86, 596,319.93 and 238,523.64

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Solution

The fourth proportional to 432,115.86, 596,319.93 and 238,523.64 is: 329,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,115.86 : 596,319.93 = 238,523.64 : x
  2. Step 2: Convert to fraction form
    432,115.86/596,319.93 = 238,523.64/x
  3. Step 3: Cross multiply
    432,115.86x = 596,319.93 × 238,523.64
  4. Step 4: Simplify right side
    432,115.86x = 142,236,400,308.15
  5. Step 5: Solve for x
    x = 142,236,400,308.15/432,115.86
  6. Step 6: Final answer
    x = 329,162.65

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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.