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Finding the Fourth Proportional to 285,298.80, 427,948.20 and 202,354.80

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Solution

The fourth proportional to 285,298.80, 427,948.20 and 202,354.80 is: 303,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.80 : 427,948.20 = 202,354.80 : x
  2. Step 2: Convert to fraction form
    285,298.80/427,948.20 = 202,354.80/x
  3. Step 3: Cross multiply
    285,298.80x = 427,948.20 × 202,354.80
  4. Step 4: Simplify right side
    285,298.80x = 86,597,372,421.36
  5. Step 5: Solve for x
    x = 86,597,372,421.36/285,298.80
  6. Step 6: Final answer
    x = 303,532.20

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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.