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Finding the Fourth Proportional to 409,873.60, 614,810.40 and 232,726.60

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Solution

The fourth proportional to 409,873.60, 614,810.40 and 232,726.60 is: 349,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,873.60 : 614,810.40 = 232,726.60 : x
  2. Step 2: Convert to fraction form
    409,873.60/614,810.40 = 232,726.60/x
  3. Step 3: Cross multiply
    409,873.60x = 614,810.40 × 232,726.60
  4. Step 4: Simplify right side
    409,873.60x = 143,082,734,036.64
  5. Step 5: Solve for x
    x = 143,082,734,036.64/409,873.60
  6. Step 6: Final answer
    x = 349,089.90

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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.