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Finding the Fourth Proportional to 462,698.46, 638,539.20 and 255,969.72

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Solution

The fourth proportional to 462,698.46, 638,539.20 and 255,969.72 is: 353,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,698.46 : 638,539.20 = 255,969.72 : x
  2. Step 2: Convert to fraction form
    462,698.46/638,539.20 = 255,969.72/x
  3. Step 3: Cross multiply
    462,698.46x = 638,539.20 × 255,969.72
  4. Step 4: Simplify right side
    462,698.46x = 163,446,700,233.02
  5. Step 5: Solve for x
    x = 163,446,700,233.02/462,698.46
  6. Step 6: Final answer
    x = 353,246.69

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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.