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Finding the Fourth Proportional to 706,388.16, 974,820.24 and 384,101.76

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Solution

The fourth proportional to 706,388.16, 974,820.24 and 384,101.76 is: 530,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,388.16 : 974,820.24 = 384,101.76 : x
  2. Step 2: Convert to fraction form
    706,388.16/974,820.24 = 384,101.76/x
  3. Step 3: Cross multiply
    706,388.16x = 974,820.24 × 384,101.76
  4. Step 4: Simplify right side
    706,388.16x = 374,430,169,867.62
  5. Step 5: Solve for x
    x = 374,430,169,867.62/706,388.16
  6. Step 6: Final answer
    x = 530,062.92

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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.