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Finding the Fourth Proportional to 500,288.16, 750,441.84 and 184,582.56

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Solution

The fourth proportional to 500,288.16, 750,441.84 and 184,582.56 is: 276,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,288.16 : 750,441.84 = 184,582.56 : x
  2. Step 2: Convert to fraction form
    500,288.16/750,441.84 = 184,582.56/x
  3. Step 3: Cross multiply
    500,288.16x = 750,441.84 × 184,582.56
  4. Step 4: Simplify right side
    500,288.16x = 138,518,475,958.31
  5. Step 5: Solve for x
    x = 138,518,475,958.31/500,288.16
  6. Step 6: Final answer
    x = 276,877.38

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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.