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Finding the Fourth Proportional to 462,979.75, 697,939.74 and 432,117.42

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Solution

The fourth proportional to 462,979.75, 697,939.74 and 432,117.42 is: 651,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,979.75 : 697,939.74 = 432,117.42 : x
  2. Step 2: Convert to fraction form
    462,979.75/697,939.74 = 432,117.42/x
  3. Step 3: Cross multiply
    462,979.75x = 697,939.74 × 432,117.42
  4. Step 4: Simplify right side
    462,979.75x = 301,591,916,274.57
  5. Step 5: Solve for x
    x = 301,591,916,274.57/462,979.75
  6. Step 6: Final answer
    x = 651,414.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.