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Finding the Fourth Proportional to 336,140.70, 470,946.90 and 336,140.70

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Solution

The fourth proportional to 336,140.70, 470,946.90 and 336,140.70 is: 470,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,140.70 : 470,946.90 = 336,140.70 : x
  2. Step 2: Convert to fraction form
    336,140.70/470,946.90 = 336,140.70/x
  3. Step 3: Cross multiply
    336,140.70x = 470,946.90 × 336,140.70
  4. Step 4: Simplify right side
    336,140.70x = 158,304,420,628.83
  5. Step 5: Solve for x
    x = 158,304,420,628.83/336,140.70
  6. Step 6: Final answer
    x = 470,946.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.