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Finding the Fourth Proportional to 524,186.10, 785,621.07 and 224,314.02

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Solution

The fourth proportional to 524,186.10, 785,621.07 and 224,314.02 is: 336,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,186.10 : 785,621.07 = 224,314.02 : x
  2. Step 2: Convert to fraction form
    524,186.10/785,621.07 = 224,314.02/x
  3. Step 3: Cross multiply
    524,186.10x = 785,621.07 × 224,314.02
  4. Step 4: Simplify right side
    524,186.10x = 176,225,820,408.40
  5. Step 5: Solve for x
    x = 176,225,820,408.40/524,186.10
  6. Step 6: Final answer
    x = 336,189.42

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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.