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Finding the Fourth Proportional to 461,376, 636,737.76 and 260,210.88

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Solution

The fourth proportional to 461,376, 636,737.76 and 260,210.88 is: 359,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,376 : 636,737.76 = 260,210.88 : x
  2. Step 2: Convert to fraction form
    461,376/636,737.76 = 260,210.88/x
  3. Step 3: Cross multiply
    461,376x = 636,737.76 × 260,210.88
  4. Step 4: Simplify right side
    461,376x = 165,686,092,858.83
  5. Step 5: Solve for x
    x = 165,686,092,858.83/461,376
  6. Step 6: Final answer
    x = 359,112.94

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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.