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Finding the Fourth Proportional to 523,968.04, 785,294.34 and 224,095.96

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Solution

The fourth proportional to 523,968.04, 785,294.34 and 224,095.96 is: 335,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,968.04 : 785,294.34 = 224,095.96 : x
  2. Step 2: Convert to fraction form
    523,968.04/785,294.34 = 224,095.96/x
  3. Step 3: Cross multiply
    523,968.04x = 785,294.34 × 224,095.96
  4. Step 4: Simplify right side
    523,968.04x = 175,981,289,004.87
  5. Step 5: Solve for x
    x = 175,981,289,004.87/523,968.04
  6. Step 6: Final answer
    x = 335,862.64

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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.