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Finding the Fourth Proportional to 550,886, 826,678.56 and 235,345.28

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Solution

The fourth proportional to 550,886, 826,678.56 and 235,345.28 is: 353,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,886 : 826,678.56 = 235,345.28 : x
  2. Step 2: Convert to fraction form
    550,886/826,678.56 = 235,345.28/x
  3. Step 3: Cross multiply
    550,886x = 826,678.56 × 235,345.28
  4. Step 4: Simplify right side
    550,886x = 194,554,897,173.20
  5. Step 5: Solve for x
    x = 194,554,897,173.20/550,886
  6. Step 6: Final answer
    x = 353,167.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.