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Finding the Fourth Proportional to 333,530.63, 500,347.78 and 111,966.47

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Solution

The fourth proportional to 333,530.63, 500,347.78 and 111,966.47 is: 167,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,530.63 : 500,347.78 = 111,966.47 : x
  2. Step 2: Convert to fraction form
    333,530.63/500,347.78 = 111,966.47/x
  3. Step 3: Cross multiply
    333,530.63x = 500,347.78 × 111,966.47
  4. Step 4: Simplify right side
    333,530.63x = 56,022,174,698.94
  5. Step 5: Solve for x
    x = 56,022,174,698.94/333,530.63
  6. Step 6: Final answer
    x = 167,967.11

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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.