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Finding the Fourth Proportional to 349,713.90, 524,830.05 and 231,345.90

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Solution

The fourth proportional to 349,713.90, 524,830.05 and 231,345.90 is: 347,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,713.90 : 524,830.05 = 231,345.90 : x
  2. Step 2: Convert to fraction form
    349,713.90/524,830.05 = 231,345.90/x
  3. Step 3: Cross multiply
    349,713.90x = 524,830.05 × 231,345.90
  4. Step 4: Simplify right side
    349,713.90x = 121,417,280,264.30
  5. Step 5: Solve for x
    x = 121,417,280,264.30/349,713.90
  6. Step 6: Final answer
    x = 347,190.32

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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.