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Finding the Fourth Proportional to 706,033.12, 974,332.24 and 383,744

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Solution

The fourth proportional to 706,033.12, 974,332.24 and 383,744 is: 529,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,033.12 : 974,332.24 = 383,744 : x
  2. Step 2: Convert to fraction form
    706,033.12/974,332.24 = 383,744/x
  3. Step 3: Cross multiply
    706,033.12x = 974,332.24 × 383,744
  4. Step 4: Simplify right side
    706,033.12x = 373,894,151,106.56
  5. Step 5: Solve for x
    x = 373,894,151,106.56/706,033.12
  6. Step 6: Final answer
    x = 529,570.27

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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.