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Finding the Fourth Proportional to 523,664.83, 784,765.03 and 283,259.76

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Solution

The fourth proportional to 523,664.83, 784,765.03 and 283,259.76 is: 424,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,664.83 : 784,765.03 = 283,259.76 : x
  2. Step 2: Convert to fraction form
    523,664.83/784,765.03 = 283,259.76/x
  3. Step 3: Cross multiply
    523,664.83x = 784,765.03 × 283,259.76
  4. Step 4: Simplify right side
    523,664.83x = 222,292,354,054.19
  5. Step 5: Solve for x
    x = 222,292,354,054.19/523,664.83
  6. Step 6: Final answer
    x = 424,493.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.