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Finding the Fourth Proportional to 386,718.59, 533,769.74 and 264,260.54

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Solution

The fourth proportional to 386,718.59, 533,769.74 and 264,260.54 is: 364,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,718.59 : 533,769.74 = 264,260.54 : x
  2. Step 2: Convert to fraction form
    386,718.59/533,769.74 = 264,260.54/x
  3. Step 3: Cross multiply
    386,718.59x = 533,769.74 × 264,260.54
  4. Step 4: Simplify right side
    386,718.59x = 141,054,277,719.86
  5. Step 5: Solve for x
    x = 141,054,277,719.86/386,718.59
  6. Step 6: Final answer
    x = 364,746.57

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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.