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Finding the Fourth Proportional to 314,712.61, 471,509.24 and 181,317.29

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Solution

The fourth proportional to 314,712.61, 471,509.24 and 181,317.29 is: 271,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,712.61 : 471,509.24 = 181,317.29 : x
  2. Step 2: Convert to fraction form
    314,712.61/471,509.24 = 181,317.29/x
  3. Step 3: Cross multiply
    314,712.61x = 471,509.24 × 181,317.29
  4. Step 4: Simplify right side
    314,712.61x = 85,492,774,342.63
  5. Step 5: Solve for x
    x = 85,492,774,342.63/314,712.61
  6. Step 6: Final answer
    x = 271,653.48

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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.