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Finding the Fourth Proportional to 409,840.95, 614,761.43 and 232,693.95

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Solution

The fourth proportional to 409,840.95, 614,761.43 and 232,693.95 is: 349,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,840.95 : 614,761.43 = 232,693.95 : x
  2. Step 2: Convert to fraction form
    409,840.95/614,761.43 = 232,693.95/x
  3. Step 3: Cross multiply
    409,840.95x = 614,761.43 × 232,693.95
  4. Step 4: Simplify right side
    409,840.95x = 143,051,264,290.88
  5. Step 5: Solve for x
    x = 143,051,264,290.88/409,840.95
  6. Step 6: Final answer
    x = 349,040.93

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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.