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Finding the Fourth Proportional to 706,519.87, 974,988.16 and 384,223.10

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Solution

The fourth proportional to 706,519.87, 974,988.16 and 384,223.10 is: 530,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,519.87 : 974,988.16 = 384,223.10 : x
  2. Step 2: Convert to fraction form
    706,519.87/974,988.16 = 384,223.10/x
  3. Step 3: Cross multiply
    706,519.87x = 974,988.16 × 384,223.10
  4. Step 4: Simplify right side
    706,519.87x = 374,612,967,463.00
  5. Step 5: Solve for x
    x = 374,612,967,463.00/706,519.87
  6. Step 6: Final answer
    x = 530,222.84

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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.