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Finding the Fourth Proportional to 375,176.12, 517,792.32 and 213,994.16

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Solution

The fourth proportional to 375,176.12, 517,792.32 and 213,994.16 is: 295,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,176.12 : 517,792.32 = 213,994.16 : x
  2. Step 2: Convert to fraction form
    375,176.12/517,792.32 = 213,994.16/x
  3. Step 3: Cross multiply
    375,176.12x = 517,792.32 × 213,994.16
  4. Step 4: Simplify right side
    375,176.12x = 110,804,532,572.85
  5. Step 5: Solve for x
    x = 110,804,532,572.85/375,176.12
  6. Step 6: Final answer
    x = 295,340.05

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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.