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Finding the Fourth Proportional to 348,697.68, 523,248.30 and 146,275.64

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Solution

The fourth proportional to 348,697.68, 523,248.30 and 146,275.64 is: 219,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,697.68 : 523,248.30 = 146,275.64 : x
  2. Step 2: Convert to fraction form
    348,697.68/523,248.30 = 146,275.64/x
  3. Step 3: Cross multiply
    348,697.68x = 523,248.30 × 146,275.64
  4. Step 4: Simplify right side
    348,697.68x = 76,538,481,269.53
  5. Step 5: Solve for x
    x = 76,538,481,269.53/348,697.68
  6. Step 6: Final answer
    x = 219,498.11

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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.