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Finding the Fourth Proportional to 459,533.96, 633,982.92 and 285,023.45

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Solution

The fourth proportional to 459,533.96, 633,982.92 and 285,023.45 is: 393,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,533.96 : 633,982.92 = 285,023.45 : x
  2. Step 2: Convert to fraction form
    459,533.96/633,982.92 = 285,023.45/x
  3. Step 3: Cross multiply
    459,533.96x = 633,982.92 × 285,023.45
  4. Step 4: Simplify right side
    459,533.96x = 180,699,994,860.72
  5. Step 5: Solve for x
    x = 180,699,994,860.72/459,533.96
  6. Step 6: Final answer
    x = 393,224.46

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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.