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Finding the Fourth Proportional to 706,448.84, 974,911.29 and 384,168.42

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Solution

The fourth proportional to 706,448.84, 974,911.29 and 384,168.42 is: 530,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,448.84 : 974,911.29 = 384,168.42 : x
  2. Step 2: Convert to fraction form
    706,448.84/974,911.29 = 384,168.42/x
  3. Step 3: Cross multiply
    706,448.84x = 974,911.29 × 384,168.42
  4. Step 4: Simplify right side
    706,448.84x = 374,530,130,639.78
  5. Step 5: Solve for x
    x = 374,530,130,639.78/706,448.84
  6. Step 6: Final answer
    x = 530,158.89

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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.