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Finding the Fourth Proportional to 314,707.88, 471,502.09 and 181,312.50

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Solution

The fourth proportional to 314,707.88, 471,502.09 and 181,312.50 is: 271,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,707.88 : 471,502.09 = 181,312.50 : x
  2. Step 2: Convert to fraction form
    314,707.88/471,502.09 = 181,312.50/x
  3. Step 3: Cross multiply
    314,707.88x = 471,502.09 × 181,312.50
  4. Step 4: Simplify right side
    314,707.88x = 85,489,222,693.13
  5. Step 5: Solve for x
    x = 85,489,222,693.13/314,707.88
  6. Step 6: Final answer
    x = 271,646.27

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