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Finding the Fourth Proportional to 313,602.80, 470,209.80 and 180,417.20

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Solution

The fourth proportional to 313,602.80, 470,209.80 and 180,417.20 is: 270,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,602.80 : 470,209.80 = 180,417.20 : x
  2. Step 2: Convert to fraction form
    313,602.80/470,209.80 = 180,417.20/x
  3. Step 3: Cross multiply
    313,602.80x = 470,209.80 × 180,417.20
  4. Step 4: Simplify right side
    313,602.80x = 84,833,935,528.56
  5. Step 5: Solve for x
    x = 84,833,935,528.56/313,602.80
  6. Step 6: Final answer
    x = 270,513.96

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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.