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Finding the Fourth Proportional to 410,843.66, 566,953.65 and 229,557.08

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Solution

The fourth proportional to 410,843.66, 566,953.65 and 229,557.08 is: 316,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,843.66 : 566,953.65 = 229,557.08 : x
  2. Step 2: Convert to fraction form
    410,843.66/566,953.65 = 229,557.08/x
  3. Step 3: Cross multiply
    410,843.66x = 566,953.65 × 229,557.08
  4. Step 4: Simplify right side
    410,843.66x = 130,148,221,554.57
  5. Step 5: Solve for x
    x = 130,148,221,554.57/410,843.66
  6. Step 6: Final answer
    x = 316,782.84

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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.