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Finding the Fourth Proportional to 349,726.40, 524,848.80 and 231,358.40

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Solution

The fourth proportional to 349,726.40, 524,848.80 and 231,358.40 is: 347,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,726.40 : 524,848.80 = 231,358.40 : x
  2. Step 2: Convert to fraction form
    349,726.40/524,848.80 = 231,358.40/x
  3. Step 3: Cross multiply
    349,726.40x = 524,848.80 × 231,358.40
  4. Step 4: Simplify right side
    349,726.40x = 121,428,178,609.92
  5. Step 5: Solve for x
    x = 121,428,178,609.92/349,726.40
  6. Step 6: Final answer
    x = 347,209.07

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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.