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Finding the Fourth Proportional to 656,875.82, 906,488.21 and 355,069.82

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Solution

The fourth proportional to 656,875.82, 906,488.21 and 355,069.82 is: 489,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,875.82 : 906,488.21 = 355,069.82 : x
  2. Step 2: Convert to fraction form
    656,875.82/906,488.21 = 355,069.82/x
  3. Step 3: Cross multiply
    656,875.82x = 906,488.21 × 355,069.82
  4. Step 4: Simplify right side
    656,875.82x = 321,866,601,024.38
  5. Step 5: Solve for x
    x = 321,866,601,024.38/656,875.82
  6. Step 6: Final answer
    x = 489,996.12

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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.