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Finding the Fourth Proportional to 424,809.14, 586,253.23 and 233,840.30

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Solution

The fourth proportional to 424,809.14, 586,253.23 and 233,840.30 is: 322,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,809.14 : 586,253.23 = 233,840.30 : x
  2. Step 2: Convert to fraction form
    424,809.14/586,253.23 = 233,840.30/x
  3. Step 3: Cross multiply
    424,809.14x = 586,253.23 × 233,840.30
  4. Step 4: Simplify right side
    424,809.14x = 137,089,627,663.30
  5. Step 5: Solve for x
    x = 137,089,627,663.30/424,809.14
  6. Step 6: Final answer
    x = 322,708.76

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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.