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Finding the Fourth Proportional to 293,034, 404,386.92 and 158,898

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Solution

The fourth proportional to 293,034, 404,386.92 and 158,898 is: 219,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,034 : 404,386.92 = 158,898 : x
  2. Step 2: Convert to fraction form
    293,034/404,386.92 = 158,898/x
  3. Step 3: Cross multiply
    293,034x = 404,386.92 × 158,898
  4. Step 4: Simplify right side
    293,034x = 64,256,272,814.16
  5. Step 5: Solve for x
    x = 64,256,272,814.16/293,034
  6. Step 6: Final answer
    x = 219,279.24

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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.