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Finding the Fourth Proportional to 470,959.10, 706,438.65 and 282,002.30

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Solution

The fourth proportional to 470,959.10, 706,438.65 and 282,002.30 is: 423,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,959.10 : 706,438.65 = 282,002.30 : x
  2. Step 2: Convert to fraction form
    470,959.10/706,438.65 = 282,002.30/x
  3. Step 3: Cross multiply
    470,959.10x = 706,438.65 × 282,002.30
  4. Step 4: Simplify right side
    470,959.10x = 199,217,324,108.90
  5. Step 5: Solve for x
    x = 199,217,324,108.90/470,959.10
  6. Step 6: Final answer
    x = 423,003.45

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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.