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Finding the Fourth Proportional to 470,154.90, 704,749.80 and 185,730.30

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Solution

The fourth proportional to 470,154.90, 704,749.80 and 185,730.30 is: 278,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,154.90 : 704,749.80 = 185,730.30 : x
  2. Step 2: Convert to fraction form
    470,154.90/704,749.80 = 185,730.30/x
  3. Step 3: Cross multiply
    470,154.90x = 704,749.80 × 185,730.30
  4. Step 4: Simplify right side
    470,154.90x = 130,893,391,778.94
  5. Step 5: Solve for x
    x = 130,893,391,778.94/470,154.90
  6. Step 6: Final answer
    x = 278,404.82

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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.