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Finding the Fourth Proportional to 470,230.20, 704,567.70 and 400,246.20

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Solution

The fourth proportional to 470,230.20, 704,567.70 and 400,246.20 is: 599,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230.20 : 704,567.70 = 400,246.20 : x
  2. Step 2: Convert to fraction form
    470,230.20/704,567.70 = 400,246.20/x
  3. Step 3: Cross multiply
    470,230.20x = 704,567.70 × 400,246.20
  4. Step 4: Simplify right side
    470,230.20x = 282,000,544,567.74
  5. Step 5: Solve for x
    x = 282,000,544,567.74/470,230.20
  6. Step 6: Final answer
    x = 599,707.43

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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.