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Finding the Fourth Proportional to 565,992.48, 781,065.54 and 311,338.20

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Solution

The fourth proportional to 565,992.48, 781,065.54 and 311,338.20 is: 429,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,992.48 : 781,065.54 = 311,338.20 : x
  2. Step 2: Convert to fraction form
    565,992.48/781,065.54 = 311,338.20/x
  3. Step 3: Cross multiply
    565,992.48x = 781,065.54 × 311,338.20
  4. Step 4: Simplify right side
    565,992.48x = 243,175,539,305.63
  5. Step 5: Solve for x
    x = 243,175,539,305.63/565,992.48
  6. Step 6: Final answer
    x = 429,644.47

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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.