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Finding the Fourth Proportional to 516,053.20, 712,154.12 and 289,700.32

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Solution

The fourth proportional to 516,053.20, 712,154.12 and 289,700.32 is: 399,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,053.20 : 712,154.12 = 289,700.32 : x
  2. Step 2: Convert to fraction form
    516,053.20/712,154.12 = 289,700.32/x
  3. Step 3: Cross multiply
    516,053.20x = 712,154.12 × 289,700.32
  4. Step 4: Simplify right side
    516,053.20x = 206,311,276,453.32
  5. Step 5: Solve for x
    x = 206,311,276,453.32/516,053.20
  6. Step 6: Final answer
    x = 399,786.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.