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Finding the Fourth Proportional to 447,219.80, 670,829.70 and 413,005.40

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Solution

The fourth proportional to 447,219.80, 670,829.70 and 413,005.40 is: 619,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,219.80 : 670,829.70 = 413,005.40 : x
  2. Step 2: Convert to fraction form
    447,219.80/670,829.70 = 413,005.40/x
  3. Step 3: Cross multiply
    447,219.80x = 670,829.70 × 413,005.40
  4. Step 4: Simplify right side
    447,219.80x = 277,056,288,580.38
  5. Step 5: Solve for x
    x = 277,056,288,580.38/447,219.80
  6. Step 6: Final answer
    x = 619,508.10

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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.