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Finding the Fourth Proportional to 706,376.40, 974,785.64 and 384,083.68

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Solution

The fourth proportional to 706,376.40, 974,785.64 and 384,083.68 is: 530,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,376.40 : 974,785.64 = 384,083.68 : x
  2. Step 2: Convert to fraction form
    706,376.40/974,785.64 = 384,083.68/x
  3. Step 3: Cross multiply
    706,376.40x = 974,785.64 × 384,083.68
  4. Step 4: Simplify right side
    706,376.40x = 374,399,255,822.36
  5. Step 5: Solve for x
    x = 374,399,255,822.36/706,376.40
  6. Step 6: Final answer
    x = 530,027.98

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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.