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Finding the Fourth Proportional to 529,616.62, 730,977.06 and 314,715.12

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Solution

The fourth proportional to 529,616.62, 730,977.06 and 314,715.12 is: 434,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,616.62 : 730,977.06 = 314,715.12 : x
  2. Step 2: Convert to fraction form
    529,616.62/730,977.06 = 314,715.12/x
  3. Step 3: Cross multiply
    529,616.62x = 730,977.06 × 314,715.12
  4. Step 4: Simplify right side
    529,616.62x = 230,049,533,155.15
  5. Step 5: Solve for x
    x = 230,049,533,155.15/529,616.62
  6. Step 6: Final answer
    x = 434,369.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.