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Finding the Fourth Proportional to 387,165.88, 534,275.06 and 217,407.16

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Solution

The fourth proportional to 387,165.88, 534,275.06 and 217,407.16 is: 300,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,165.88 : 534,275.06 = 217,407.16 : x
  2. Step 2: Convert to fraction form
    387,165.88/534,275.06 = 217,407.16/x
  3. Step 3: Cross multiply
    387,165.88x = 534,275.06 × 217,407.16
  4. Step 4: Simplify right side
    387,165.88x = 116,155,223,453.43
  5. Step 5: Solve for x
    x = 116,155,223,453.43/387,165.88
  6. Step 6: Final answer
    x = 300,014.10

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