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Finding the Fourth Proportional to 333,542.54, 460,289 and 180,580.84

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Solution

The fourth proportional to 333,542.54, 460,289 and 180,580.84 is: 249,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,542.54 : 460,289 = 180,580.84 : x
  2. Step 2: Convert to fraction form
    333,542.54/460,289 = 180,580.84/x
  3. Step 3: Cross multiply
    333,542.54x = 460,289 × 180,580.84
  4. Step 4: Simplify right side
    333,542.54x = 83,119,374,262.76
  5. Step 5: Solve for x
    x = 83,119,374,262.76/333,542.54
  6. Step 6: Final answer
    x = 249,201.72

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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.