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Finding the Fourth Proportional to 473,866.77, 653,934.56 and 259,006.71

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Solution

The fourth proportional to 473,866.77, 653,934.56 and 259,006.71 is: 357,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,866.77 : 653,934.56 = 259,006.71 : x
  2. Step 2: Convert to fraction form
    473,866.77/653,934.56 = 259,006.71/x
  3. Step 3: Cross multiply
    473,866.77x = 653,934.56 × 259,006.71
  4. Step 4: Simplify right side
    473,866.77x = 169,373,437,645.86
  5. Step 5: Solve for x
    x = 169,373,437,645.86/473,866.77
  6. Step 6: Final answer
    x = 357,428.39

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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.