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Finding the Fourth Proportional to 601,471.23, 901,641.70 and 201,831.72

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Solution

The fourth proportional to 601,471.23, 901,641.70 and 201,831.72 is: 302,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,471.23 : 901,641.70 = 201,831.72 : x
  2. Step 2: Convert to fraction form
    601,471.23/901,641.70 = 201,831.72/x
  3. Step 3: Cross multiply
    601,471.23x = 901,641.70 × 201,831.72
  4. Step 4: Simplify right side
    601,471.23x = 181,979,895,134.72
  5. Step 5: Solve for x
    x = 181,979,895,134.72/601,471.23
  6. Step 6: Final answer
    x = 302,557.94

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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.