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Finding the Fourth Proportional to 303,724.80, 455,587.20 and 289,209.60

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Solution

The fourth proportional to 303,724.80, 455,587.20 and 289,209.60 is: 433,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,724.80 : 455,587.20 = 289,209.60 : x
  2. Step 2: Convert to fraction form
    303,724.80/455,587.20 = 289,209.60/x
  3. Step 3: Cross multiply
    303,724.80x = 455,587.20 × 289,209.60
  4. Step 4: Simplify right side
    303,724.80x = 131,760,191,877.12
  5. Step 5: Solve for x
    x = 131,760,191,877.12/303,724.80
  6. Step 6: Final answer
    x = 433,814.40

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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.