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Finding the Fourth Proportional to 427,560.86, 590,024.89 and 233,967.79

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Solution

The fourth proportional to 427,560.86, 590,024.89 and 233,967.79 is: 322,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,560.86 : 590,024.89 = 233,967.79 : x
  2. Step 2: Convert to fraction form
    427,560.86/590,024.89 = 233,967.79/x
  3. Step 3: Cross multiply
    427,560.86x = 590,024.89 × 233,967.79
  4. Step 4: Simplify right side
    427,560.86x = 138,046,819,825.36
  5. Step 5: Solve for x
    x = 138,046,819,825.36/427,560.86
  6. Step 6: Final answer
    x = 322,870.58

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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.