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Finding the Fourth Proportional to 410,587.38, 566,298.36 and 353,323.18

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Solution

The fourth proportional to 410,587.38, 566,298.36 and 353,323.18 is: 487,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,587.38 : 566,298.36 = 353,323.18 : x
  2. Step 2: Convert to fraction form
    410,587.38/566,298.36 = 353,323.18/x
  3. Step 3: Cross multiply
    410,587.38x = 566,298.36 × 353,323.18
  4. Step 4: Simplify right side
    410,587.38x = 200,086,336,696.51
  5. Step 5: Solve for x
    x = 200,086,336,696.51/410,587.38
  6. Step 6: Final answer
    x = 487,317.31

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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.