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Finding the Fourth Proportional to 342,316.86, 513,047.61 and 164,776.38

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Solution

The fourth proportional to 342,316.86, 513,047.61 and 164,776.38 is: 246,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,316.86 : 513,047.61 = 164,776.38 : x
  2. Step 2: Convert to fraction form
    342,316.86/513,047.61 = 164,776.38/x
  3. Step 3: Cross multiply
    342,316.86x = 513,047.61 × 164,776.38
  4. Step 4: Simplify right side
    342,316.86x = 84,538,127,943.45
  5. Step 5: Solve for x
    x = 84,538,127,943.45/342,316.86
  6. Step 6: Final answer
    x = 246,958.70

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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.