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Finding the Fourth Proportional to 424,796.58, 586,214.70 and 233,805.84

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Solution

The fourth proportional to 424,796.58, 586,214.70 and 233,805.84 is: 322,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,796.58 : 586,214.70 = 233,805.84 : x
  2. Step 2: Convert to fraction form
    424,796.58/586,214.70 = 233,805.84/x
  3. Step 3: Cross multiply
    424,796.58x = 586,214.70 × 233,805.84
  4. Step 4: Simplify right side
    424,796.58x = 137,060,420,353.85
  5. Step 5: Solve for x
    x = 137,060,420,353.85/424,796.58
  6. Step 6: Final answer
    x = 322,649.54

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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.