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Finding the Fourth Proportional to 269,000.60, 402,464.10 and 175,688.60

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Solution

The fourth proportional to 269,000.60, 402,464.10 and 175,688.60 is: 262,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,000.60 : 402,464.10 = 175,688.60 : x
  2. Step 2: Convert to fraction form
    269,000.60/402,464.10 = 175,688.60/x
  3. Step 3: Cross multiply
    269,000.60x = 402,464.10 × 175,688.60
  4. Step 4: Simplify right side
    269,000.60x = 70,708,354,279.26
  5. Step 5: Solve for x
    x = 70,708,354,279.26/269,000.60
  6. Step 6: Final answer
    x = 262,855.75

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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.