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Finding the Fourth Proportional to 461,100.69, 636,317.70 and 257,151.84

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Solution

The fourth proportional to 461,100.69, 636,317.70 and 257,151.84 is: 354,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,100.69 : 636,317.70 = 257,151.84 : x
  2. Step 2: Convert to fraction form
    461,100.69/636,317.70 = 257,151.84/x
  3. Step 3: Cross multiply
    461,100.69x = 636,317.70 × 257,151.84
  4. Step 4: Simplify right side
    461,100.69x = 163,630,267,379.57
  5. Step 5: Solve for x
    x = 163,630,267,379.57/461,100.69
  6. Step 6: Final answer
    x = 354,868.84

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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.