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Finding the Fourth Proportional to 819,129.57, 1,130,404.05 and 456,576.42

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Solution

The fourth proportional to 819,129.57, 1,130,404.05 and 456,576.42 is: 630,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,129.57 : 1,130,404.05 = 456,576.42 : x
  2. Step 2: Convert to fraction form
    819,129.57/1,130,404.05 = 456,576.42/x
  3. Step 3: Cross multiply
    819,129.57x = 1,130,404.05 × 456,576.42
  4. Step 4: Simplify right side
    819,129.57x = 516,115,834,302.50
  5. Step 5: Solve for x
    x = 516,115,834,302.50/819,129.57
  6. Step 6: Final answer
    x = 630,078.38

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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.