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Finding the Fourth Proportional to 333,224.83, 459,848.88 and 180,262.66

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Solution

The fourth proportional to 333,224.83, 459,848.88 and 180,262.66 is: 248,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,224.83 : 459,848.88 = 180,262.66 : x
  2. Step 2: Convert to fraction form
    333,224.83/459,848.88 = 180,262.66/x
  3. Step 3: Cross multiply
    333,224.83x = 459,848.88 × 180,262.66
  4. Step 4: Simplify right side
    333,224.83x = 82,893,581,157.20
  5. Step 5: Solve for x
    x = 82,893,581,157.20/333,224.83
  6. Step 6: Final answer
    x = 248,761.72

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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.