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Finding the Fourth Proportional to 260,043.20, 364,552 and 260,043.20

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Solution

The fourth proportional to 260,043.20, 364,552 and 260,043.20 is: 364,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043.20 : 364,552 = 260,043.20 : x
  2. Step 2: Convert to fraction form
    260,043.20/364,552 = 260,043.20/x
  3. Step 3: Cross multiply
    260,043.20x = 364,552 × 260,043.20
  4. Step 4: Simplify right side
    260,043.20x = 94,799,268,646.40
  5. Step 5: Solve for x
    x = 94,799,268,646.40/260,043.20
  6. Step 6: Final answer
    x = 364,552

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.