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Finding the Fourth Proportional to 410,510.72, 566,514.40 and 229,216.52

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Solution

The fourth proportional to 410,510.72, 566,514.40 and 229,216.52 is: 316,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,510.72 : 566,514.40 = 229,216.52 : x
  2. Step 2: Convert to fraction form
    410,510.72/566,514.40 = 229,216.52/x
  3. Step 3: Cross multiply
    410,510.72x = 566,514.40 × 229,216.52
  4. Step 4: Simplify right side
    410,510.72x = 129,854,459,297.89
  5. Step 5: Solve for x
    x = 129,854,459,297.89/410,510.72
  6. Step 6: Final answer
    x = 316,324.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.