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Finding the Fourth Proportional to 506,011.83, 759,142.32 and 356,544

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Solution

The fourth proportional to 506,011.83, 759,142.32 and 356,544 is: 534,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,011.83 : 759,142.32 = 356,544 : x
  2. Step 2: Convert to fraction form
    506,011.83/759,142.32 = 356,544/x
  3. Step 3: Cross multiply
    506,011.83x = 759,142.32 × 356,544
  4. Step 4: Simplify right side
    506,011.83x = 270,667,639,342.08
  5. Step 5: Solve for x
    x = 270,667,639,342.08/506,011.83
  6. Step 6: Final answer
    x = 534,903.78

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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.