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Finding the Fourth Proportional to 506,749.86, 699,314.76 and 277,307.19

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Solution

The fourth proportional to 506,749.86, 699,314.76 and 277,307.19 is: 382,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,749.86 : 699,314.76 = 277,307.19 : x
  2. Step 2: Convert to fraction form
    506,749.86/699,314.76 = 277,307.19/x
  3. Step 3: Cross multiply
    506,749.86x = 699,314.76 × 277,307.19
  4. Step 4: Simplify right side
    506,749.86x = 193,925,011,021.12
  5. Step 5: Solve for x
    x = 193,925,011,021.12/506,749.86
  6. Step 6: Final answer
    x = 382,683.90

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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.