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Finding the Fourth Proportional to 702,972.14, 970,096.72 and 380,674.86

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Solution

The fourth proportional to 702,972.14, 970,096.72 and 380,674.86 is: 525,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,972.14 : 970,096.72 = 380,674.86 : x
  2. Step 2: Convert to fraction form
    702,972.14/970,096.72 = 380,674.86/x
  3. Step 3: Cross multiply
    702,972.14x = 970,096.72 × 380,674.86
  4. Step 4: Simplify right side
    702,972.14x = 369,291,433,072.46
  5. Step 5: Solve for x
    x = 369,291,433,072.46/702,972.14
  6. Step 6: Final answer
    x = 525,328.69

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1.5x scale

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.