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Finding the Fourth Proportional to 414,598.32, 572,156.73 and 233,316.72

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Solution

The fourth proportional to 414,598.32, 572,156.73 and 233,316.72 is: 321,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,598.32 : 572,156.73 = 233,316.72 : x
  2. Step 2: Convert to fraction form
    414,598.32/572,156.73 = 233,316.72/x
  3. Step 3: Cross multiply
    414,598.32x = 572,156.73 × 233,316.72
  4. Step 4: Simplify right side
    414,598.32x = 133,493,731,569.53
  5. Step 5: Solve for x
    x = 133,493,731,569.53/414,598.32
  6. Step 6: Final answer
    x = 321,983.29

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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.