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Finding the Fourth Proportional to 802,669.86, 1,107,641.97 and 458,438.13

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Solution

The fourth proportional to 802,669.86, 1,107,641.97 and 458,438.13 is: 632,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,669.86 : 1,107,641.97 = 458,438.13 : x
  2. Step 2: Convert to fraction form
    802,669.86/1,107,641.97 = 458,438.13/x
  3. Step 3: Cross multiply
    802,669.86x = 1,107,641.97 × 458,438.13
  4. Step 4: Simplify right side
    802,669.86x = 507,785,313,436.32
  5. Step 5: Solve for x
    x = 507,785,313,436.32/802,669.86
  6. Step 6: Final answer
    x = 632,620.38

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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.