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Finding the Fourth Proportional to 604,094.24, 906,137.30 and 205,015.98

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Solution

The fourth proportional to 604,094.24, 906,137.30 and 205,015.98 is: 307,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,094.24 : 906,137.30 = 205,015.98 : x
  2. Step 2: Convert to fraction form
    604,094.24/906,137.30 = 205,015.98/x
  3. Step 3: Cross multiply
    604,094.24x = 906,137.30 × 205,015.98
  4. Step 4: Simplify right side
    604,094.24x = 185,772,626,574.05
  5. Step 5: Solve for x
    x = 185,772,626,574.05/604,094.24
  6. Step 6: Final answer
    x = 307,522.59

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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.