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Finding the Fourth Proportional to 604,355.04, 906,543 and 205,006.14

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Solution

The fourth proportional to 604,355.04, 906,543 and 205,006.14 is: 307,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,355.04 : 906,543 = 205,006.14 : x
  2. Step 2: Convert to fraction form
    604,355.04/906,543 = 205,006.14/x
  3. Step 3: Cross multiply
    604,355.04x = 906,543 × 205,006.14
  4. Step 4: Simplify right side
    604,355.04x = 185,846,881,174.02
  5. Step 5: Solve for x
    x = 185,846,881,174.02/604,355.04
  6. Step 6: Final answer
    x = 307,512.75

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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.