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Finding the Fourth Proportional to 696,897.79, 961,602.38 and 410,474.91

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Solution

The fourth proportional to 696,897.79, 961,602.38 and 410,474.91 is: 566,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,897.79 : 961,602.38 = 410,474.91 : x
  2. Step 2: Convert to fraction form
    696,897.79/961,602.38 = 410,474.91/x
  3. Step 3: Cross multiply
    696,897.79x = 961,602.38 × 410,474.91
  4. Step 4: Simplify right side
    696,897.79x = 394,713,643,525.90
  5. Step 5: Solve for x
    x = 394,713,643,525.90/696,897.79
  6. Step 6: Final answer
    x = 566,386.71

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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.