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Finding the Fourth Proportional to 414,804.12, 572,440.76 and 233,522.93

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Solution

The fourth proportional to 414,804.12, 572,440.76 and 233,522.93 is: 322,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,804.12 : 572,440.76 = 233,522.93 : x
  2. Step 2: Convert to fraction form
    414,804.12/572,440.76 = 233,522.93/x
  3. Step 3: Cross multiply
    414,804.12x = 572,440.76 × 233,522.93
  4. Step 4: Simplify right side
    414,804.12x = 133,678,039,496.81
  5. Step 5: Solve for x
    x = 133,678,039,496.81/414,804.12
  6. Step 6: Final answer
    x = 322,267.87

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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.