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Finding the Fourth Proportional to 387,005.76, 534,067.56 and 217,240.20

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Solution

The fourth proportional to 387,005.76, 534,067.56 and 217,240.20 is: 299,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,005.76 : 534,067.56 = 217,240.20 : x
  2. Step 2: Convert to fraction form
    387,005.76/534,067.56 = 217,240.20/x
  3. Step 3: Cross multiply
    387,005.76x = 534,067.56 × 217,240.20
  4. Step 4: Simplify right side
    387,005.76x = 116,020,943,547.91
  5. Step 5: Solve for x
    x = 116,020,943,547.91/387,005.76
  6. Step 6: Final answer
    x = 299,791.26

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1.5x scale

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.