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Finding the Fourth Proportional to 410,297.15, 566,210.71 and 229,009.03

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Solution

The fourth proportional to 410,297.15, 566,210.71 and 229,009.03 is: 316,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,297.15 : 566,210.71 = 229,009.03 : x
  2. Step 2: Convert to fraction form
    410,297.15/566,210.71 = 229,009.03/x
  3. Step 3: Cross multiply
    410,297.15x = 566,210.71 × 229,009.03
  4. Step 4: Simplify right side
    410,297.15x = 129,667,364,902.59
  5. Step 5: Solve for x
    x = 129,667,364,902.59/410,297.15
  6. Step 6: Final answer
    x = 316,032.82

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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.