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Finding the Fourth Proportional to 470,892.10, 706,338.15 and 434,949.70

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Solution

The fourth proportional to 470,892.10, 706,338.15 and 434,949.70 is: 652,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.10 : 706,338.15 = 434,949.70 : x
  2. Step 2: Convert to fraction form
    470,892.10/706,338.15 = 434,949.70/x
  3. Step 3: Cross multiply
    470,892.10x = 706,338.15 × 434,949.70
  4. Step 4: Simplify right side
    470,892.10x = 307,221,566,441.06
  5. Step 5: Solve for x
    x = 307,221,566,441.06/470,892.10
  6. Step 6: Final answer
    x = 652,424.55

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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.