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Finding the Fourth Proportional to 517,596.97, 714,267.59 and 299,809.90

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Solution

The fourth proportional to 517,596.97, 714,267.59 and 299,809.90 is: 413,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,596.97 : 714,267.59 = 299,809.90 : x
  2. Step 2: Convert to fraction form
    517,596.97/714,267.59 = 299,809.90/x
  3. Step 3: Cross multiply
    517,596.97x = 714,267.59 × 299,809.90
  4. Step 4: Simplify right side
    517,596.97x = 214,144,495,249.21
  5. Step 5: Solve for x
    x = 214,144,495,249.21/517,596.97
  6. Step 6: Final answer
    x = 413,728.26

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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.