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Finding the Fourth Proportional to 219,325.40, 328,988.10 and 198,986.30

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Solution

The fourth proportional to 219,325.40, 328,988.10 and 198,986.30 is: 298,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,325.40 : 328,988.10 = 198,986.30 : x
  2. Step 2: Convert to fraction form
    219,325.40/328,988.10 = 198,986.30/x
  3. Step 3: Cross multiply
    219,325.40x = 328,988.10 × 198,986.30
  4. Step 4: Simplify right side
    219,325.40x = 65,464,124,763.03
  5. Step 5: Solve for x
    x = 65,464,124,763.03/219,325.40
  6. Step 6: Final answer
    x = 298,479.45

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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.