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Finding the Fourth Proportional to 706,409.61, 974,850.33 and 384,117.40

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Solution

The fourth proportional to 706,409.61, 974,850.33 and 384,117.40 is: 530,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,409.61 : 974,850.33 = 384,117.40 : x
  2. Step 2: Convert to fraction form
    706,409.61/974,850.33 = 384,117.40/x
  3. Step 3: Cross multiply
    706,409.61x = 974,850.33 × 384,117.40
  4. Step 4: Simplify right side
    706,409.61x = 374,456,971,711.62
  5. Step 5: Solve for x
    x = 374,456,971,711.62/706,409.61
  6. Step 6: Final answer
    x = 530,084.76

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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.