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Finding the Fourth Proportional to 596,188.16, 822,735.60 and 338,113.76

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Solution

The fourth proportional to 596,188.16, 822,735.60 and 338,113.76 is: 466,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,188.16 : 822,735.60 = 338,113.76 : x
  2. Step 2: Convert to fraction form
    596,188.16/822,735.60 = 338,113.76/x
  3. Step 3: Cross multiply
    596,188.16x = 822,735.60 × 338,113.76
  4. Step 4: Simplify right side
    596,188.16x = 278,178,227,201.86
  5. Step 5: Solve for x
    x = 278,178,227,201.86/596,188.16
  6. Step 6: Final answer
    x = 466,594.69

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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.