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Finding the Fourth Proportional to 417,507.16, 576,098.65 and 233,736.20

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Solution

The fourth proportional to 417,507.16, 576,098.65 and 233,736.20 is: 322,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,507.16 : 576,098.65 = 233,736.20 : x
  2. Step 2: Convert to fraction form
    417,507.16/576,098.65 = 233,736.20/x
  3. Step 3: Cross multiply
    417,507.16x = 576,098.65 × 233,736.20
  4. Step 4: Simplify right side
    417,507.16x = 134,655,107,533.41
  5. Step 5: Solve for x
    x = 134,655,107,533.41/417,507.16
  6. Step 6: Final answer
    x = 322,521.67

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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.