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Finding the Fourth Proportional to 310,301.06, 428,233.72 and 233,684.98

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Solution

The fourth proportional to 310,301.06, 428,233.72 and 233,684.98 is: 322,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,301.06 : 428,233.72 = 233,684.98 : x
  2. Step 2: Convert to fraction form
    310,301.06/428,233.72 = 233,684.98/x
  3. Step 3: Cross multiply
    310,301.06x = 428,233.72 × 233,684.98
  4. Step 4: Simplify right side
    310,301.06x = 100,071,788,293.53
  5. Step 5: Solve for x
    x = 100,071,788,293.53/310,301.06
  6. Step 6: Final answer
    x = 322,499.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.