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Finding the Fourth Proportional to 305,577.24, 457,897.02 and 127,987.08

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Solution

The fourth proportional to 305,577.24, 457,897.02 and 127,987.08 is: 191,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,577.24 : 457,897.02 = 127,987.08 : x
  2. Step 2: Convert to fraction form
    305,577.24/457,897.02 = 127,987.08/x
  3. Step 3: Cross multiply
    305,577.24x = 457,897.02 × 127,987.08
  4. Step 4: Simplify right side
    305,577.24x = 58,604,902,530.50
  5. Step 5: Solve for x
    x = 58,604,902,530.50/305,577.24
  6. Step 6: Final answer
    x = 191,784.25

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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.