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Finding the Fourth Proportional to 387,038.90, 534,114.21 and 217,274.24

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Solution

The fourth proportional to 387,038.90, 534,114.21 and 217,274.24 is: 299,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,038.90 : 534,114.21 = 217,274.24 : x
  2. Step 2: Convert to fraction form
    387,038.90/534,114.21 = 217,274.24/x
  3. Step 3: Cross multiply
    387,038.90x = 534,114.21 × 217,274.24
  4. Step 4: Simplify right side
    387,038.90x = 116,049,256,380.38
  5. Step 5: Solve for x
    x = 116,049,256,380.38/387,038.90
  6. Step 6: Final answer
    x = 299,838.74

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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.