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Finding the Fourth Proportional to 409,427.70, 614,141.55 and 232,280.70

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Solution

The fourth proportional to 409,427.70, 614,141.55 and 232,280.70 is: 348,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,427.70 : 614,141.55 = 232,280.70 : x
  2. Step 2: Convert to fraction form
    409,427.70/614,141.55 = 232,280.70/x
  3. Step 3: Cross multiply
    409,427.70x = 614,141.55 × 232,280.70
  4. Step 4: Simplify right side
    409,427.70x = 142,653,229,133.09
  5. Step 5: Solve for x
    x = 142,653,229,133.09/409,427.70
  6. Step 6: Final answer
    x = 348,421.05

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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.