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Finding the Fourth Proportional to 375,417.84, 563,200.20 and 165,055.08

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Solution

The fourth proportional to 375,417.84, 563,200.20 and 165,055.08 is: 247,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,417.84 : 563,200.20 = 165,055.08 : x
  2. Step 2: Convert to fraction form
    375,417.84/563,200.20 = 165,055.08/x
  3. Step 3: Cross multiply
    375,417.84x = 563,200.20 × 165,055.08
  4. Step 4: Simplify right side
    375,417.84x = 92,959,054,067.02
  5. Step 5: Solve for x
    x = 92,959,054,067.02/375,417.84
  6. Step 6: Final answer
    x = 247,614.91

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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.