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Finding the Fourth Proportional to 706,463.16, 974,923.74 and 384,176.76

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Solution

The fourth proportional to 706,463.16, 974,923.74 and 384,176.76 is: 530,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,463.16 : 974,923.74 = 384,176.76 : x
  2. Step 2: Convert to fraction form
    706,463.16/974,923.74 = 384,176.76/x
  3. Step 3: Cross multiply
    706,463.16x = 974,923.74 × 384,176.76
  4. Step 4: Simplify right side
    706,463.16x = 374,543,043,680.28
  5. Step 5: Solve for x
    x = 374,543,043,680.28/706,463.16
  6. Step 6: Final answer
    x = 530,166.42

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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.