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Finding the Fourth Proportional to 472,157.25, 651,576.00 and 257,296.80

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Solution

The fourth proportional to 472,157.25, 651,576.00 and 257,296.80 is: 355,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,157.25 : 651,576.00 = 257,296.80 : x
  2. Step 2: Convert to fraction form
    472,157.25/651,576.00 = 257,296.80/x
  3. Step 3: Cross multiply
    472,157.25x = 651,576.00 × 257,296.80
  4. Step 4: Simplify right side
    472,157.25x = 167,648,421,717.78
  5. Step 5: Solve for x
    x = 167,648,421,717.78/472,157.25
  6. Step 6: Final answer
    x = 355,069.04

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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.