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Finding the Fourth Proportional to 330,185.40, 495,278.10 and 282,946.20

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Solution

The fourth proportional to 330,185.40, 495,278.10 and 282,946.20 is: 424,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,185.40 : 495,278.10 = 282,946.20 : x
  2. Step 2: Convert to fraction form
    330,185.40/495,278.10 = 282,946.20/x
  3. Step 3: Cross multiply
    330,185.40x = 495,278.10 × 282,946.20
  4. Step 4: Simplify right side
    330,185.40x = 140,137,056,338.22
  5. Step 5: Solve for x
    x = 140,137,056,338.22/330,185.40
  6. Step 6: Final answer
    x = 424,419.30

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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.