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Finding the Fourth Proportional to 413,602.20, 619,091.10 and 413,602.20

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Solution

The fourth proportional to 413,602.20, 619,091.10 and 413,602.20 is: 619,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,602.20 : 619,091.10 = 413,602.20 : x
  2. Step 2: Convert to fraction form
    413,602.20/619,091.10 = 413,602.20/x
  3. Step 3: Cross multiply
    413,602.20x = 619,091.10 × 413,602.20
  4. Step 4: Simplify right side
    413,602.20x = 256,057,440,960.42
  5. Step 5: Solve for x
    x = 256,057,440,960.42/413,602.20
  6. Step 6: Final answer
    x = 619,091.10

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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.