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Finding the Fourth Proportional to 333,539.54, 460,284.86 and 180,577.84

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Solution

The fourth proportional to 333,539.54, 460,284.86 and 180,577.84 is: 249,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,539.54 : 460,284.86 = 180,577.84 : x
  2. Step 2: Convert to fraction form
    333,539.54/460,284.86 = 180,577.84/x
  3. Step 3: Cross multiply
    333,539.54x = 460,284.86 × 180,577.84
  4. Step 4: Simplify right side
    333,539.54x = 83,117,245,967.27
  5. Step 5: Solve for x
    x = 83,117,245,967.27/333,539.54
  6. Step 6: Final answer
    x = 249,197.58

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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.