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Finding the Fourth Proportional to 523,140.42, 722,150.74 and 353,604.18

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Solution

The fourth proportional to 523,140.42, 722,150.74 and 353,604.18 is: 488,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,140.42 : 722,150.74 = 353,604.18 : x
  2. Step 2: Convert to fraction form
    523,140.42/722,150.74 = 353,604.18/x
  3. Step 3: Cross multiply
    523,140.42x = 722,150.74 × 353,604.18
  4. Step 4: Simplify right side
    523,140.42x = 255,355,520,254.09
  5. Step 5: Solve for x
    x = 255,355,520,254.09/523,140.42
  6. Step 6: Final answer
    x = 488,120.42

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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.