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Finding the Fourth Proportional to 410,741.51, 566,803.04 and 229,417.34

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Solution

The fourth proportional to 410,741.51, 566,803.04 and 229,417.34 is: 316,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,741.51 : 566,803.04 = 229,417.34 : x
  2. Step 2: Convert to fraction form
    410,741.51/566,803.04 = 229,417.34/x
  3. Step 3: Cross multiply
    410,741.51x = 566,803.04 × 229,417.34
  4. Step 4: Simplify right side
    410,741.51x = 130,034,441,759.61
  5. Step 5: Solve for x
    x = 130,034,441,759.61/410,741.51
  6. Step 6: Final answer
    x = 316,584.62

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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.