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Finding the Fourth Proportional to 375,155.30, 517,763.61 and 213,973.40

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Solution

The fourth proportional to 375,155.30, 517,763.61 and 213,973.40 is: 295,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,155.30 : 517,763.61 = 213,973.40 : x
  2. Step 2: Convert to fraction form
    375,155.30/517,763.61 = 213,973.40/x
  3. Step 3: Cross multiply
    375,155.30x = 517,763.61 × 213,973.40
  4. Step 4: Simplify right side
    375,155.30x = 110,787,637,439.16
  5. Step 5: Solve for x
    x = 110,787,637,439.16/375,155.30
  6. Step 6: Final answer
    x = 295,311.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.