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Finding the Fourth Proportional to 516,037.96, 712,127.46 and 289,681.84

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Solution

The fourth proportional to 516,037.96, 712,127.46 and 289,681.84 is: 399,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,037.96 : 712,127.46 = 289,681.84 : x
  2. Step 2: Convert to fraction form
    516,037.96/712,127.46 = 289,681.84/x
  3. Step 3: Cross multiply
    516,037.96x = 712,127.46 × 289,681.84
  4. Step 4: Simplify right side
    516,037.96x = 206,290,392,927.33
  5. Step 5: Solve for x
    x = 206,290,392,927.33/516,037.96
  6. Step 6: Final answer
    x = 399,758.17

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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.