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Finding the Fourth Proportional to 416,399.47, 575,599.70 and 371,522.23

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Solution

The fourth proportional to 416,399.47, 575,599.70 and 371,522.23 is: 513,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,399.47 : 575,599.70 = 371,522.23 : x
  2. Step 2: Convert to fraction form
    416,399.47/575,599.70 = 371,522.23/x
  3. Step 3: Cross multiply
    416,399.47x = 575,599.70 × 371,522.23
  4. Step 4: Simplify right side
    416,399.47x = 213,848,083,621.14
  5. Step 5: Solve for x
    x = 213,848,083,621.14/416,399.47
  6. Step 6: Final answer
    x = 513,564.74

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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.