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Finding the Fourth Proportional to 409,946.80, 614,920.20 and 144,007.60

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Solution

The fourth proportional to 409,946.80, 614,920.20 and 144,007.60 is: 216,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,946.80 : 614,920.20 = 144,007.60 : x
  2. Step 2: Convert to fraction form
    409,946.80/614,920.20 = 144,007.60/x
  3. Step 3: Cross multiply
    409,946.80x = 614,920.20 × 144,007.60
  4. Step 4: Simplify right side
    409,946.80x = 88,553,182,193.52
  5. Step 5: Solve for x
    x = 88,553,182,193.52/409,946.80
  6. Step 6: Final answer
    x = 216,011.40

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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.