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Finding the Fourth Proportional to 312,884.80, 468,290.40 and 288,001.60

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Solution

The fourth proportional to 312,884.80, 468,290.40 and 288,001.60 is: 431,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,884.80 : 468,290.40 = 288,001.60 : x
  2. Step 2: Convert to fraction form
    312,884.80/468,290.40 = 288,001.60/x
  3. Step 3: Cross multiply
    312,884.80x = 468,290.40 × 288,001.60
  4. Step 4: Simplify right side
    312,884.80x = 134,868,384,464.64
  5. Step 5: Solve for x
    x = 134,868,384,464.64/312,884.80
  6. Step 6: Final answer
    x = 431,048.05

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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.