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Finding the Fourth Proportional to 312,775.61, 431,878.79 and 288,893.57

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Solution

The fourth proportional to 312,775.61, 431,878.79 and 288,893.57 is: 398,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,775.61 : 431,878.79 = 288,893.57 : x
  2. Step 2: Convert to fraction form
    312,775.61/431,878.79 = 288,893.57/x
  3. Step 3: Cross multiply
    312,775.61x = 431,878.79 × 288,893.57
  4. Step 4: Simplify right side
    312,775.61x = 124,767,004,005.91
  5. Step 5: Solve for x
    x = 124,767,004,005.91/312,775.61
  6. Step 6: Final answer
    x = 398,902.60

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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.