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Finding the Fourth Proportional to 333,135, 459,726.30 and 182,235.24

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Solution

The fourth proportional to 333,135, 459,726.30 and 182,235.24 is: 251,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,135 : 459,726.30 = 182,235.24 : x
  2. Step 2: Convert to fraction form
    333,135/459,726.30 = 182,235.24/x
  3. Step 3: Cross multiply
    333,135x = 459,726.30 × 182,235.24
  4. Step 4: Simplify right side
    333,135x = 83,778,332,614.81
  5. Step 5: Solve for x
    x = 83,778,332,614.81/333,135
  6. Step 6: Final answer
    x = 251,484.63

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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.