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Finding the Fourth Proportional to 470,903.08, 706,338.82 and 204,663.58

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Solution

The fourth proportional to 470,903.08, 706,338.82 and 204,663.58 is: 306,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,903.08 : 706,338.82 = 204,663.58 : x
  2. Step 2: Convert to fraction form
    470,903.08/706,338.82 = 204,663.58/x
  3. Step 3: Cross multiply
    470,903.08x = 706,338.82 × 204,663.58
  4. Step 4: Simplify right side
    470,903.08x = 144,561,831,594.18
  5. Step 5: Solve for x
    x = 144,561,831,594.18/470,903.08
  6. Step 6: Final answer
    x = 306,988.50

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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.