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Finding the Fourth Proportional to 409,870.60, 614,805.90 and 232,723.60

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Solution

The fourth proportional to 409,870.60, 614,805.90 and 232,723.60 is: 349,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,870.60 : 614,805.90 = 232,723.60 : x
  2. Step 2: Convert to fraction form
    409,870.60/614,805.90 = 232,723.60/x
  3. Step 3: Cross multiply
    409,870.60x = 614,805.90 × 232,723.60
  4. Step 4: Simplify right side
    409,870.60x = 143,079,842,349.24
  5. Step 5: Solve for x
    x = 143,079,842,349.24/409,870.60
  6. Step 6: Final answer
    x = 349,085.40

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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.