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Finding the Fourth Proportional to 304,009.20, 456,013.80 and 164,041.20

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Solution

The fourth proportional to 304,009.20, 456,013.80 and 164,041.20 is: 246,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,009.20 : 456,013.80 = 164,041.20 : x
  2. Step 2: Convert to fraction form
    304,009.20/456,013.80 = 164,041.20/x
  3. Step 3: Cross multiply
    304,009.20x = 456,013.80 × 164,041.20
  4. Step 4: Simplify right side
    304,009.20x = 74,805,050,968.56
  5. Step 5: Solve for x
    x = 74,805,050,968.56/304,009.20
  6. Step 6: Final answer
    x = 246,061.80

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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.