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Finding the Fourth Proportional to 565,696.56, 847,984.34 and 265,640.01

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Solution

The fourth proportional to 565,696.56, 847,984.34 and 265,640.01 is: 398,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,696.56 : 847,984.34 = 265,640.01 : x
  2. Step 2: Convert to fraction form
    565,696.56/847,984.34 = 265,640.01/x
  3. Step 3: Cross multiply
    565,696.56x = 847,984.34 × 265,640.01
  4. Step 4: Simplify right side
    565,696.56x = 225,258,566,041.60
  5. Step 5: Solve for x
    x = 225,258,566,041.60/565,696.56
  6. Step 6: Final answer
    x = 398,196.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.