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Finding the Fourth Proportional to 510,404.40, 704,168.32 and 509,617.08

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Solution

The fourth proportional to 510,404.40, 704,168.32 and 509,617.08 is: 703,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,404.40 : 704,168.32 = 509,617.08 : x
  2. Step 2: Convert to fraction form
    510,404.40/704,168.32 = 509,617.08/x
  3. Step 3: Cross multiply
    510,404.40x = 704,168.32 × 509,617.08
  4. Step 4: Simplify right side
    510,404.40x = 358,856,203,066.91
  5. Step 5: Solve for x
    x = 358,856,203,066.91/510,404.40
  6. Step 6: Final answer
    x = 703,082.11

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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.