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Finding the Fourth Proportional to 538,265.40, 807,203.70 and 271,937.40

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Solution

The fourth proportional to 538,265.40, 807,203.70 and 271,937.40 is: 407,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,265.40 : 807,203.70 = 271,937.40 : x
  2. Step 2: Convert to fraction form
    538,265.40/807,203.70 = 271,937.40/x
  3. Step 3: Cross multiply
    538,265.40x = 807,203.70 × 271,937.40
  4. Step 4: Simplify right side
    538,265.40x = 219,508,875,448.38
  5. Step 5: Solve for x
    x = 219,508,875,448.38/538,265.40
  6. Step 6: Final answer
    x = 407,807.89

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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.