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Finding the Fourth Proportional to 506,362.31, 698,751.71 and 276,874.01

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Solution

The fourth proportional to 506,362.31, 698,751.71 and 276,874.01 is: 382,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,362.31 : 698,751.71 = 276,874.01 : x
  2. Step 2: Convert to fraction form
    506,362.31/698,751.71 = 276,874.01/x
  3. Step 3: Cross multiply
    506,362.31x = 698,751.71 × 276,874.01
  4. Step 4: Simplify right side
    506,362.31x = 193,466,183,063.93
  5. Step 5: Solve for x
    x = 193,466,183,063.93/506,362.31
  6. Step 6: Final answer
    x = 382,070.67

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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.