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Finding the Fourth Proportional to 375,429.44, 517,963.12 and 214,168.16

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Solution

The fourth proportional to 375,429.44, 517,963.12 and 214,168.16 is: 295,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,429.44 : 517,963.12 = 214,168.16 : x
  2. Step 2: Convert to fraction form
    375,429.44/517,963.12 = 214,168.16/x
  3. Step 3: Cross multiply
    375,429.44x = 517,963.12 × 214,168.16
  4. Step 4: Simplify right side
    375,429.44x = 110,931,208,358.26
  5. Step 5: Solve for x
    x = 110,931,208,358.26/375,429.44
  6. Step 6: Final answer
    x = 295,478.18

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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.