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Finding the Fourth Proportional to 304,924.54, 457,387.80 and 77,220.03

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Solution

The fourth proportional to 304,924.54, 457,387.80 and 77,220.03 is: 115,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,924.54 : 457,387.80 = 77,220.03 : x
  2. Step 2: Convert to fraction form
    304,924.54/457,387.80 = 77,220.03/x
  3. Step 3: Cross multiply
    304,924.54x = 457,387.80 × 77,220.03
  4. Step 4: Simplify right side
    304,924.54x = 35,319,499,637.63
  5. Step 5: Solve for x
    x = 35,319,499,637.63/304,924.54
  6. Step 6: Final answer
    x = 115,830.30

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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.