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Finding the Fourth Proportional to 688,514, 950,238.42 and 386,708

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Solution

The fourth proportional to 688,514, 950,238.42 and 386,708 is: 533,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,514 : 950,238.42 = 386,708 : x
  2. Step 2: Convert to fraction form
    688,514/950,238.42 = 386,708/x
  3. Step 3: Cross multiply
    688,514x = 950,238.42 × 386,708
  4. Step 4: Simplify right side
    688,514x = 367,464,798,921.36
  5. Step 5: Solve for x
    x = 367,464,798,921.36/688,514
  6. Step 6: Final answer
    x = 533,707.08

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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.