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Finding the Fourth Proportional to 304,070.80, 456,106.20 and 146,606.80

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Solution

The fourth proportional to 304,070.80, 456,106.20 and 146,606.80 is: 219,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,070.80 : 456,106.20 = 146,606.80 : x
  2. Step 2: Convert to fraction form
    304,070.80/456,106.20 = 146,606.80/x
  3. Step 3: Cross multiply
    304,070.80x = 456,106.20 × 146,606.80
  4. Step 4: Simplify right side
    304,070.80x = 66,868,270,442.16
  5. Step 5: Solve for x
    x = 66,868,270,442.16/304,070.80
  6. Step 6: Final answer
    x = 219,910.20

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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.