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Finding the Fourth Proportional to 313,663.80, 470,495.70 and 208,140.60

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Solution

The fourth proportional to 313,663.80, 470,495.70 and 208,140.60 is: 312,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,663.80 : 470,495.70 = 208,140.60 : x
  2. Step 2: Convert to fraction form
    313,663.80/470,495.70 = 208,140.60/x
  3. Step 3: Cross multiply
    313,663.80x = 470,495.70 × 208,140.60
  4. Step 4: Simplify right side
    313,663.80x = 97,929,257,295.42
  5. Step 5: Solve for x
    x = 97,929,257,295.42/313,663.80
  6. Step 6: Final answer
    x = 312,210.90

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1.5x scale

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.