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Finding the Fourth Proportional to 468,202.32, 646,565.48 and 442,698.96

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Solution

The fourth proportional to 468,202.32, 646,565.48 and 442,698.96 is: 611,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,202.32 : 646,565.48 = 442,698.96 : x
  2. Step 2: Convert to fraction form
    468,202.32/646,565.48 = 442,698.96/x
  3. Step 3: Cross multiply
    468,202.32x = 646,565.48 × 442,698.96
  4. Step 4: Simplify right side
    468,202.32x = 286,233,865,567.90
  5. Step 5: Solve for x
    x = 286,233,865,567.90/468,202.32
  6. Step 6: Final answer
    x = 611,346.53

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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.