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Finding the Fourth Proportional to 336,113.70, 470,909.10 and 336,113.70

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Solution

The fourth proportional to 336,113.70, 470,909.10 and 336,113.70 is: 470,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,113.70 : 470,909.10 = 336,113.70 : x
  2. Step 2: Convert to fraction form
    336,113.70/470,909.10 = 336,113.70/x
  3. Step 3: Cross multiply
    336,113.70x = 470,909.10 × 336,113.70
  4. Step 4: Simplify right side
    336,113.70x = 158,278,999,964.67
  5. Step 5: Solve for x
    x = 158,278,999,964.67/336,113.70
  6. Step 6: Final answer
    x = 470,909.10

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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.