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Finding the Fourth Proportional to 413,140.20, 619,710.30 and 413,140.20

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Solution

The fourth proportional to 413,140.20, 619,710.30 and 413,140.20 is: 619,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,140.20 : 619,710.30 = 413,140.20 : x
  2. Step 2: Convert to fraction form
    413,140.20/619,710.30 = 413,140.20/x
  3. Step 3: Cross multiply
    413,140.20x = 619,710.30 × 413,140.20
  4. Step 4: Simplify right side
    413,140.20x = 256,027,237,284.06
  5. Step 5: Solve for x
    x = 256,027,237,284.06/413,140.20
  6. Step 6: Final answer
    x = 619,710.30

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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.