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Finding the Fourth Proportional to 522,583.65, 784,200.71 and 282,597.90

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Solution

The fourth proportional to 522,583.65, 784,200.71 and 282,597.90 is: 424,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,583.65 : 784,200.71 = 282,597.90 : x
  2. Step 2: Convert to fraction form
    522,583.65/784,200.71 = 282,597.90/x
  3. Step 3: Cross multiply
    522,583.65x = 784,200.71 × 282,597.90
  4. Step 4: Simplify right side
    522,583.65x = 221,613,475,492.22
  5. Step 5: Solve for x
    x = 221,613,475,492.22/522,583.65
  6. Step 6: Final answer
    x = 424,072.73

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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.