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Finding the Fourth Proportional to 401,319.20, 553,998.84 and 256,315.16

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Solution

The fourth proportional to 401,319.20, 553,998.84 and 256,315.16 is: 353,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,319.20 : 553,998.84 = 256,315.16 : x
  2. Step 2: Convert to fraction form
    401,319.20/553,998.84 = 256,315.16/x
  3. Step 3: Cross multiply
    401,319.20x = 553,998.84 × 256,315.16
  4. Step 4: Simplify right side
    401,319.20x = 141,998,301,314.41
  5. Step 5: Solve for x
    x = 141,998,301,314.41/401,319.20
  6. Step 6: Final answer
    x = 353,828.83

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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.