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Finding the Fourth Proportional to 695,856, 1,042,012.06 and 458,479.02

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Solution

The fourth proportional to 695,856, 1,042,012.06 and 458,479.02 is: 686,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,856 : 1,042,012.06 = 458,479.02 : x
  2. Step 2: Convert to fraction form
    695,856/1,042,012.06 = 458,479.02/x
  3. Step 3: Cross multiply
    695,856x = 1,042,012.06 × 458,479.02
  4. Step 4: Simplify right side
    695,856x = 477,740,668,096.98
  5. Step 5: Solve for x
    x = 477,740,668,096.98/695,856
  6. Step 6: Final answer
    x = 686,551.05

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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.