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Finding the Fourth Proportional to 333,722.68, 460,533.48 and 180,757.96

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Solution

The fourth proportional to 333,722.68, 460,533.48 and 180,757.96 is: 249,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,722.68 : 460,533.48 = 180,757.96 : x
  2. Step 2: Convert to fraction form
    333,722.68/460,533.48 = 180,757.96/x
  3. Step 3: Cross multiply
    333,722.68x = 460,533.48 × 180,757.96
  4. Step 4: Simplify right side
    333,722.68x = 83,245,092,356.50
  5. Step 5: Solve for x
    x = 83,245,092,356.50/333,722.68
  6. Step 6: Final answer
    x = 249,443.92

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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.