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Finding the Fourth Proportional to 470,291.43, 704,953.98 and 185,866.41

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Solution

The fourth proportional to 470,291.43, 704,953.98 and 185,866.41 is: 278,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,291.43 : 704,953.98 = 185,866.41 : x
  2. Step 2: Convert to fraction form
    470,291.43/704,953.98 = 185,866.41/x
  3. Step 3: Cross multiply
    470,291.43x = 704,953.98 × 185,866.41
  4. Step 4: Simplify right side
    470,291.43x = 131,027,265,477.81
  5. Step 5: Solve for x
    x = 131,027,265,477.81/470,291.43
  6. Step 6: Final answer
    x = 278,608.66

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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.