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Finding the Fourth Proportional to 585,435.42, 807,811.65 and 330,693.66

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Solution

The fourth proportional to 585,435.42, 807,811.65 and 330,693.66 is: 456,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,435.42 : 807,811.65 = 330,693.66 : x
  2. Step 2: Convert to fraction form
    585,435.42/807,811.65 = 330,693.66/x
  3. Step 3: Cross multiply
    585,435.42x = 807,811.65 × 330,693.66
  4. Step 4: Simplify right side
    585,435.42x = 267,138,191,129.14
  5. Step 5: Solve for x
    x = 267,138,191,129.14/585,435.42
  6. Step 6: Final answer
    x = 456,306.85

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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.