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Finding the Fourth Proportional to 304,002.40, 419,412.72 and 176,648.80

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Solution

The fourth proportional to 304,002.40, 419,412.72 and 176,648.80 is: 243,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,002.40 : 419,412.72 = 176,648.80 : x
  2. Step 2: Convert to fraction form
    304,002.40/419,412.72 = 176,648.80/x
  3. Step 3: Cross multiply
    304,002.40x = 419,412.72 × 176,648.80
  4. Step 4: Simplify right side
    304,002.40x = 74,088,753,692.74
  5. Step 5: Solve for x
    x = 74,088,753,692.74/304,002.40
  6. Step 6: Final answer
    x = 243,711.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.