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Finding the Fourth Proportional to 414,803.93, 572,440.50 and 233,522.74

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Solution

The fourth proportional to 414,803.93, 572,440.50 and 233,522.74 is: 322,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,803.93 : 572,440.50 = 233,522.74 : x
  2. Step 2: Convert to fraction form
    414,803.93/572,440.50 = 233,522.74/x
  3. Step 3: Cross multiply
    414,803.93x = 572,440.50 × 233,522.74
  4. Step 4: Simplify right side
    414,803.93x = 133,677,872,879.36
  5. Step 5: Solve for x
    x = 133,677,872,879.36/414,803.93
  6. Step 6: Final answer
    x = 322,267.61

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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.