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Finding the Fourth Proportional to 428,038.82, 590,712.72 and 234,460.16

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Solution

The fourth proportional to 428,038.82, 590,712.72 and 234,460.16 is: 323,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,038.82 : 590,712.72 = 234,460.16 : x
  2. Step 2: Convert to fraction form
    428,038.82/590,712.72 = 234,460.16/x
  3. Step 3: Cross multiply
    428,038.82x = 590,712.72 × 234,460.16
  4. Step 4: Simplify right side
    428,038.82x = 138,498,598,845.24
  5. Step 5: Solve for x
    x = 138,498,598,845.24/428,038.82
  6. Step 6: Final answer
    x = 323,565.51

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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.