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Finding the Fourth Proportional to 349,134.52, 523,931.40 and 191,473.68

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Solution

The fourth proportional to 349,134.52, 523,931.40 and 191,473.68 is: 287,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,134.52 : 523,931.40 = 191,473.68 : x
  2. Step 2: Convert to fraction form
    349,134.52/523,931.40 = 191,473.68/x
  3. Step 3: Cross multiply
    349,134.52x = 523,931.40 × 191,473.68
  4. Step 4: Simplify right side
    349,134.52x = 100,319,073,225.55
  5. Step 5: Solve for x
    x = 100,319,073,225.55/349,134.52
  6. Step 6: Final answer
    x = 287,336.45

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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.