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Finding the Fourth Proportional to 523,244.16, 784,953.72 and 207,703.80

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Solution

The fourth proportional to 523,244.16, 784,953.72 and 207,703.80 is: 311,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,244.16 : 784,953.72 = 207,703.80 : x
  2. Step 2: Convert to fraction form
    523,244.16/784,953.72 = 207,703.80/x
  3. Step 3: Cross multiply
    523,244.16x = 784,953.72 × 207,703.80
  4. Step 4: Simplify right side
    523,244.16x = 163,037,870,468.14
  5. Step 5: Solve for x
    x = 163,037,870,468.14/523,244.16
  6. Step 6: Final answer
    x = 311,590.43

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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.