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Finding the Fourth Proportional to 586,810.71, 810,202.14 and 396,091.35

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Solution

The fourth proportional to 586,810.71, 810,202.14 and 396,091.35 is: 546,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,810.71 : 810,202.14 = 396,091.35 : x
  2. Step 2: Convert to fraction form
    586,810.71/810,202.14 = 396,091.35/x
  3. Step 3: Cross multiply
    586,810.71x = 810,202.14 × 396,091.35
  4. Step 4: Simplify right side
    586,810.71x = 320,914,059,405.49
  5. Step 5: Solve for x
    x = 320,914,059,405.49/586,810.71
  6. Step 6: Final answer
    x = 546,878.33

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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.