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Finding the Fourth Proportional to 431,794.14, 595,982.76 and 294,200.66

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Solution

The fourth proportional to 431,794.14, 595,982.76 and 294,200.66 is: 406,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,794.14 : 595,982.76 = 294,200.66 : x
  2. Step 2: Convert to fraction form
    431,794.14/595,982.76 = 294,200.66/x
  3. Step 3: Cross multiply
    431,794.14x = 595,982.76 × 294,200.66
  4. Step 4: Simplify right side
    431,794.14x = 175,338,518,360.71
  5. Step 5: Solve for x
    x = 175,338,518,360.71/431,794.14
  6. Step 6: Final answer
    x = 406,069.70

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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.