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Finding the Fourth Proportional to 333,538.14, 460,279.41 and 180,572.42

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Solution

The fourth proportional to 333,538.14, 460,279.41 and 180,572.42 is: 249,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,538.14 : 460,279.41 = 180,572.42 : x
  2. Step 2: Convert to fraction form
    333,538.14/460,279.41 = 180,572.42/x
  3. Step 3: Cross multiply
    333,538.14x = 460,279.41 × 180,572.42
  4. Step 4: Simplify right side
    333,538.14x = 83,113,764,638.48
  5. Step 5: Solve for x
    x = 83,113,764,638.48/333,538.14
  6. Step 6: Final answer
    x = 249,188.19

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1.5x scale

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.