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Finding the Fourth Proportional to 706,178.42, 974,532.56 and 383,889.14

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Solution

The fourth proportional to 706,178.42, 974,532.56 and 383,889.14 is: 529,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,178.42 : 974,532.56 = 383,889.14 : x
  2. Step 2: Convert to fraction form
    706,178.42/974,532.56 = 383,889.14/x
  3. Step 3: Cross multiply
    706,178.42x = 974,532.56 × 383,889.14
  4. Step 4: Simplify right side
    706,178.42x = 374,112,459,568.29
  5. Step 5: Solve for x
    x = 374,112,459,568.29/706,178.42
  6. Step 6: Final answer
    x = 529,770.45

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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.