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Finding the Fourth Proportional to 1,038,442, 1,433,049.96 and 561,514

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Solution

The fourth proportional to 1,038,442, 1,433,049.96 and 561,514 is: 774,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,442 : 1,433,049.96 = 561,514 : x
  2. Step 2: Convert to fraction form
    1,038,442/1,433,049.96 = 561,514/x
  3. Step 3: Cross multiply
    1,038,442x = 1,433,049.96 × 561,514
  4. Step 4: Simplify right side
    1,038,442x = 804,677,615,239.44
  5. Step 5: Solve for x
    x = 804,677,615,239.44/1,038,442
  6. Step 6: Final answer
    x = 774,889.32

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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.