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Finding the Fourth Proportional to 577,685.45, 866,733.41 and 257,808.15

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Solution

The fourth proportional to 577,685.45, 866,733.41 and 257,808.15 is: 386,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,685.45 : 866,733.41 = 257,808.15 : x
  2. Step 2: Convert to fraction form
    577,685.45/866,733.41 = 257,808.15/x
  3. Step 3: Cross multiply
    577,685.45x = 866,733.41 × 257,808.15
  4. Step 4: Simplify right side
    577,685.45x = 223,450,937,619.81
  5. Step 5: Solve for x
    x = 223,450,937,619.81/577,685.45
  6. Step 6: Final answer
    x = 386,803.82

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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.