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Finding the Fourth Proportional to 880,337.25, 1,214,878.01 and 512,804.95

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Solution

The fourth proportional to 880,337.25, 1,214,878.01 and 512,804.95 is: 707,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,337.25 : 1,214,878.01 = 512,804.95 : x
  2. Step 2: Convert to fraction form
    880,337.25/1,214,878.01 = 512,804.95/x
  3. Step 3: Cross multiply
    880,337.25x = 1,214,878.01 × 512,804.95
  4. Step 4: Simplify right side
    880,337.25x = 622,995,451,572.93
  5. Step 5: Solve for x
    x = 622,995,451,572.93/880,337.25
  6. Step 6: Final answer
    x = 707,678.17

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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.