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Finding the Fourth Proportional to 310,987.80, 429,295.58 and 209,072.37

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Solution

The fourth proportional to 310,987.80, 429,295.58 and 209,072.37 is: 288,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,987.80 : 429,295.58 = 209,072.37 : x
  2. Step 2: Convert to fraction form
    310,987.80/429,295.58 = 209,072.37/x
  3. Step 3: Cross multiply
    310,987.80x = 429,295.58 × 209,072.37
  4. Step 4: Simplify right side
    310,987.80x = 89,753,844,341.12
  5. Step 5: Solve for x
    x = 89,753,844,341.12/310,987.80
  6. Step 6: Final answer
    x = 288,608.89

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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.