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Finding the Fourth Proportional to 366,924.86, 506,411.65 and 223,767.94

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Solution

The fourth proportional to 366,924.86, 506,411.65 and 223,767.94 is: 308,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,924.86 : 506,411.65 = 223,767.94 : x
  2. Step 2: Convert to fraction form
    366,924.86/506,411.65 = 223,767.94/x
  3. Step 3: Cross multiply
    366,924.86x = 506,411.65 × 223,767.94
  4. Step 4: Simplify right side
    366,924.86x = 113,318,691,712.50
  5. Step 5: Solve for x
    x = 113,318,691,712.50/366,924.86
  6. Step 6: Final answer
    x = 308,833.51

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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.