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Finding the Fourth Proportional to 461,085.75, 636,303.20 and 259,881.75

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Solution

The fourth proportional to 461,085.75, 636,303.20 and 259,881.75 is: 358,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,085.75 : 636,303.20 = 259,881.75 : x
  2. Step 2: Convert to fraction form
    461,085.75/636,303.20 = 259,881.75/x
  3. Step 3: Cross multiply
    461,085.75x = 636,303.20 × 259,881.75
  4. Step 4: Simplify right side
    461,085.75x = 165,363,587,847.19
  5. Step 5: Solve for x
    x = 165,363,587,847.19/461,085.75
  6. Step 6: Final answer
    x = 358,639.55

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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.