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Finding the Fourth Proportional to 706,464.81, 974,928.29 and 384,181.88

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Solution

The fourth proportional to 706,464.81, 974,928.29 and 384,181.88 is: 530,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,464.81 : 974,928.29 = 384,181.88 : x
  2. Step 2: Convert to fraction form
    706,464.81/974,928.29 = 384,181.88/x
  3. Step 3: Cross multiply
    706,464.81x = 974,928.29 × 384,181.88
  4. Step 4: Simplify right side
    706,464.81x = 374,549,776,521.83
  5. Step 5: Solve for x
    x = 374,549,776,521.83/706,464.81
  6. Step 6: Final answer
    x = 530,174.71

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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.