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Finding the Fourth Proportional to 469,742, 704,686.36 and 154,127.12

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Solution

The fourth proportional to 469,742, 704,686.36 and 154,127.12 is: 231,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,742 : 704,686.36 = 154,127.12 : x
  2. Step 2: Convert to fraction form
    469,742/704,686.36 = 154,127.12/x
  3. Step 3: Cross multiply
    469,742x = 704,686.36 × 154,127.12
  4. Step 4: Simplify right side
    469,742x = 108,611,279,170.08
  5. Step 5: Solve for x
    x = 108,611,279,170.08/469,742
  6. Step 6: Final answer
    x = 231,214.75

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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.