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Finding the Fourth Proportional to 471,431.53, 706,585.29 and 328,502.98

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Solution

The fourth proportional to 471,431.53, 706,585.29 and 328,502.98 is: 492,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,431.53 : 706,585.29 = 328,502.98 : x
  2. Step 2: Convert to fraction form
    471,431.53/706,585.29 = 328,502.98/x
  3. Step 3: Cross multiply
    471,431.53x = 706,585.29 × 328,502.98
  4. Step 4: Simplify right side
    471,431.53x = 232,115,373,389.16
  5. Step 5: Solve for x
    x = 232,115,373,389.16/471,431.53
  6. Step 6: Final answer
    x = 492,362.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.