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Finding the Fourth Proportional to 470,732.82, 706,024.80 and 204,421.83

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Solution

The fourth proportional to 470,732.82, 706,024.80 and 204,421.83 is: 306,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,732.82 : 706,024.80 = 204,421.83 : x
  2. Step 2: Convert to fraction form
    470,732.82/706,024.80 = 204,421.83/x
  3. Step 3: Cross multiply
    470,732.82x = 706,024.80 × 204,421.83
  4. Step 4: Simplify right side
    470,732.82x = 144,326,881,641.38
  5. Step 5: Solve for x
    x = 144,326,881,641.38/470,732.82
  6. Step 6: Final answer
    x = 306,600.42

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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.