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Finding the Fourth Proportional to 523,041.80, 784,562.70 and 257,321.30

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Solution

The fourth proportional to 523,041.80, 784,562.70 and 257,321.30 is: 385,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,041.80 : 784,562.70 = 257,321.30 : x
  2. Step 2: Convert to fraction form
    523,041.80/784,562.70 = 257,321.30/x
  3. Step 3: Cross multiply
    523,041.80x = 784,562.70 × 257,321.30
  4. Step 4: Simplify right side
    523,041.80x = 201,884,693,895.51
  5. Step 5: Solve for x
    x = 201,884,693,895.51/523,041.80
  6. Step 6: Final answer
    x = 385,981.95

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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.