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Finding the Fourth Proportional to 310,304.16, 428,238 and 233,688.15

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Solution

The fourth proportional to 310,304.16, 428,238 and 233,688.15 is: 322,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,304.16 : 428,238 = 233,688.15 : x
  2. Step 2: Convert to fraction form
    310,304.16/428,238 = 233,688.15/x
  3. Step 3: Cross multiply
    310,304.16x = 428,238 × 233,688.15
  4. Step 4: Simplify right side
    310,304.16x = 100,074,145,979.70
  5. Step 5: Solve for x
    x = 100,074,145,979.70/310,304.16
  6. Step 6: Final answer
    x = 322,503.40

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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.