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Finding the Fourth Proportional to 506,615.16, 698,960.04 and 299,894.52

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Solution

The fourth proportional to 506,615.16, 698,960.04 and 299,894.52 is: 413,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,615.16 : 698,960.04 = 299,894.52 : x
  2. Step 2: Convert to fraction form
    506,615.16/698,960.04 = 299,894.52/x
  3. Step 3: Cross multiply
    506,615.16x = 698,960.04 × 299,894.52
  4. Step 4: Simplify right side
    506,615.16x = 209,614,285,694.98
  5. Step 5: Solve for x
    x = 209,614,285,694.98/506,615.16
  6. Step 6: Final answer
    x = 413,754.47

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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.