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Finding the Fourth Proportional to 470,290.43, 704,952.48 and 185,865.41

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Solution

The fourth proportional to 470,290.43, 704,952.48 and 185,865.41 is: 278,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,290.43 : 704,952.48 = 185,865.41 : x
  2. Step 2: Convert to fraction form
    470,290.43/704,952.48 = 185,865.41/x
  3. Step 3: Cross multiply
    470,290.43x = 704,952.48 × 185,865.41
  4. Step 4: Simplify right side
    470,290.43x = 131,026,281,725.72
  5. Step 5: Solve for x
    x = 131,026,281,725.72/470,290.43
  6. Step 6: Final answer
    x = 278,607.16

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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.