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Finding the Fourth Proportional to 506,096.72, 698,482.92 and 291,232.40

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Solution

The fourth proportional to 506,096.72, 698,482.92 and 291,232.40 is: 401,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,096.72 : 698,482.92 = 291,232.40 : x
  2. Step 2: Convert to fraction form
    506,096.72/698,482.92 = 291,232.40/x
  3. Step 3: Cross multiply
    506,096.72x = 698,482.92 × 291,232.40
  4. Step 4: Simplify right side
    506,096.72x = 203,420,857,150.61
  5. Step 5: Solve for x
    x = 203,420,857,150.61/506,096.72
  6. Step 6: Final answer
    x = 401,940.67

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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.