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Finding the Fourth Proportional to 295,069.60, 442,823.10 and 216,337.60

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Solution

The fourth proportional to 295,069.60, 442,823.10 and 216,337.60 is: 324,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,069.60 : 442,823.10 = 216,337.60 : x
  2. Step 2: Convert to fraction form
    295,069.60/442,823.10 = 216,337.60/x
  3. Step 3: Cross multiply
    295,069.60x = 442,823.10 × 216,337.60
  4. Step 4: Simplify right side
    295,069.60x = 95,799,286,678.56
  5. Step 5: Solve for x
    x = 95,799,286,678.56/295,069.60
  6. Step 6: Final answer
    x = 324,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.