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Finding the Fourth Proportional to 286,268.80, 429,403.20 and 181,206.40

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Solution

The fourth proportional to 286,268.80, 429,403.20 and 181,206.40 is: 271,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,268.80 : 429,403.20 = 181,206.40 : x
  2. Step 2: Convert to fraction form
    286,268.80/429,403.20 = 181,206.40/x
  3. Step 3: Cross multiply
    286,268.80x = 429,403.20 × 181,206.40
  4. Step 4: Simplify right side
    286,268.80x = 77,810,608,020.48
  5. Step 5: Solve for x
    x = 77,810,608,020.48/286,268.80
  6. Step 6: Final answer
    x = 271,809.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.