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Finding the Fourth Proportional to 333,546.86, 460,294.97 and 180,585.16

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Solution

The fourth proportional to 333,546.86, 460,294.97 and 180,585.16 is: 249,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,546.86 : 460,294.97 = 180,585.16 : x
  2. Step 2: Convert to fraction form
    333,546.86/460,294.97 = 180,585.16/x
  3. Step 3: Cross multiply
    333,546.86x = 460,294.97 × 180,585.16
  4. Step 4: Simplify right side
    333,546.86x = 83,122,438,750.98
  5. Step 5: Solve for x
    x = 83,122,438,750.98/333,546.86
  6. Step 6: Final answer
    x = 249,207.68

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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.