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Finding the Fourth Proportional to 523,967.04, 785,292.84 and 224,094.96

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Solution

The fourth proportional to 523,967.04, 785,292.84 and 224,094.96 is: 335,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,967.04 : 785,292.84 = 224,094.96 : x
  2. Step 2: Convert to fraction form
    523,967.04/785,292.84 = 224,094.96/x
  3. Step 3: Cross multiply
    523,967.04x = 785,292.84 × 224,094.96
  4. Step 4: Simplify right side
    523,967.04x = 175,980,167,568.09
  5. Step 5: Solve for x
    x = 175,980,167,568.09/523,967.04
  6. Step 6: Final answer
    x = 335,861.14

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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.