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Finding the Fourth Proportional to 304,070.40, 456,105.60 and 154,252.80

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Solution

The fourth proportional to 304,070.40, 456,105.60 and 154,252.80 is: 231,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,070.40 : 456,105.60 = 154,252.80 : x
  2. Step 2: Convert to fraction form
    304,070.40/456,105.60 = 154,252.80/x
  3. Step 3: Cross multiply
    304,070.40x = 456,105.60 × 154,252.80
  4. Step 4: Simplify right side
    304,070.40x = 70,355,565,895.68
  5. Step 5: Solve for x
    x = 70,355,565,895.68/304,070.40
  6. Step 6: Final answer
    x = 231,379.20

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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.