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Finding the Fourth Proportional to 417,478.41, 576,174.53 and 233,786.93

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Solution

The fourth proportional to 417,478.41, 576,174.53 and 233,786.93 is: 322,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,478.41 : 576,174.53 = 233,786.93 : x
  2. Step 2: Convert to fraction form
    417,478.41/576,174.53 = 233,786.93/x
  3. Step 3: Cross multiply
    417,478.41x = 576,174.53 × 233,786.93
  4. Step 4: Simplify right side
    417,478.41x = 134,702,072,216.49
  5. Step 5: Solve for x
    x = 134,702,072,216.49/417,478.41
  6. Step 6: Final answer
    x = 322,656.38

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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.