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Finding the Fourth Proportional to 472,322.76, 651,792.40 and 257,467

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Solution

The fourth proportional to 472,322.76, 651,792.40 and 257,467 is: 355,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,322.76 : 651,792.40 = 257,467 : x
  2. Step 2: Convert to fraction form
    472,322.76/651,792.40 = 257,467/x
  3. Step 3: Cross multiply
    472,322.76x = 651,792.40 × 257,467
  4. Step 4: Simplify right side
    472,322.76x = 167,815,033,850.80
  5. Step 5: Solve for x
    x = 167,815,033,850.80/472,322.76
  6. Step 6: Final answer
    x = 355,297.37

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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.