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Finding the Fourth Proportional to 506,258.10, 698,636.81 and 276,816.42

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Solution

The fourth proportional to 506,258.10, 698,636.81 and 276,816.42 is: 382,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,258.10 : 698,636.81 = 276,816.42 : x
  2. Step 2: Convert to fraction form
    506,258.10/698,636.81 = 276,816.42/x
  3. Step 3: Cross multiply
    506,258.10x = 698,636.81 × 276,816.42
  4. Step 4: Simplify right side
    506,258.10x = 193,394,141,316.46
  5. Step 5: Solve for x
    x = 193,394,141,316.46/506,258.10
  6. Step 6: Final answer
    x = 382,007.01

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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.