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Finding the Fourth Proportional to 538,440.10, 807,271.35 and 301,855.30

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Solution

The fourth proportional to 538,440.10, 807,271.35 and 301,855.30 is: 452,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,440.10 : 807,271.35 = 301,855.30 : x
  2. Step 2: Convert to fraction form
    538,440.10/807,271.35 = 301,855.30/x
  3. Step 3: Cross multiply
    538,440.10x = 807,271.35 × 301,855.30
  4. Step 4: Simplify right side
    538,440.10x = 243,679,135,535.66
  5. Step 5: Solve for x
    x = 243,679,135,535.66/538,440.10
  6. Step 6: Final answer
    x = 452,564.98

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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.