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Finding the Fourth Proportional to 702,707.60, 969,738.67 and 380,416.93

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Solution

The fourth proportional to 702,707.60, 969,738.67 and 380,416.93 is: 524,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,707.60 : 969,738.67 = 380,416.93 : x
  2. Step 2: Convert to fraction form
    702,707.60/969,738.67 = 380,416.93/x
  3. Step 3: Cross multiply
    702,707.60x = 969,738.67 × 380,416.93
  4. Step 4: Simplify right side
    702,707.60x = 368,905,006,270.38
  5. Step 5: Solve for x
    x = 368,905,006,270.38/702,707.60
  6. Step 6: Final answer
    x = 524,976.54

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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.