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Finding the Fourth Proportional to 395,563.56, 545,880.32 and 214,275.48

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Solution

The fourth proportional to 395,563.56, 545,880.32 and 214,275.48 is: 295,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,563.56 : 545,880.32 = 214,275.48 : x
  2. Step 2: Convert to fraction form
    395,563.56/545,880.32 = 214,275.48/x
  3. Step 3: Cross multiply
    395,563.56x = 545,880.32 × 214,275.48
  4. Step 4: Simplify right side
    395,563.56x = 116,968,767,590.55
  5. Step 5: Solve for x
    x = 116,968,767,590.55/395,563.56
  6. Step 6: Final answer
    x = 295,701.57

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1.5x scale

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.