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Finding the Fourth Proportional to 706,154.08, 974,255.45 and 400,206.45

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Solution

The fourth proportional to 706,154.08, 974,255.45 and 400,206.45 is: 552,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,154.08 : 974,255.45 = 400,206.45 : x
  2. Step 2: Convert to fraction form
    706,154.08/974,255.45 = 400,206.45/x
  3. Step 3: Cross multiply
    706,154.08x = 974,255.45 × 400,206.45
  4. Step 4: Simplify right side
    706,154.08x = 389,903,315,037.65
  5. Step 5: Solve for x
    x = 389,903,315,037.65/706,154.08
  6. Step 6: Final answer
    x = 552,150.48

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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.