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Finding the Fourth Proportional to 506,749.07, 699,313.78 and 277,306.40

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Solution

The fourth proportional to 506,749.07, 699,313.78 and 277,306.40 is: 382,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,749.07 : 699,313.78 = 277,306.40 : x
  2. Step 2: Convert to fraction form
    506,749.07/699,313.78 = 277,306.40/x
  3. Step 3: Cross multiply
    506,749.07x = 699,313.78 × 277,306.40
  4. Step 4: Simplify right side
    506,749.07x = 193,924,186,802.19
  5. Step 5: Solve for x
    x = 193,924,186,802.19/506,749.07
  6. Step 6: Final answer
    x = 382,682.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.