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Finding the Fourth Proportional to 314,855.80, 472,283.70 and 115,182.70

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Solution

The fourth proportional to 314,855.80, 472,283.70 and 115,182.70 is: 172,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.80 : 472,283.70 = 115,182.70 : x
  2. Step 2: Convert to fraction form
    314,855.80/472,283.70 = 115,182.70/x
  3. Step 3: Cross multiply
    314,855.80x = 472,283.70 × 115,182.70
  4. Step 4: Simplify right side
    314,855.80x = 54,398,911,731.99
  5. Step 5: Solve for x
    x = 54,398,911,731.99/314,855.80
  6. Step 6: Final answer
    x = 172,774.05

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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.