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Finding the Fourth Proportional to 416,408.46, 575,612.16 and 371,531.22

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Solution

The fourth proportional to 416,408.46, 575,612.16 and 371,531.22 is: 513,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.46 : 575,612.16 = 371,531.22 : x
  2. Step 2: Convert to fraction form
    416,408.46/575,612.16 = 371,531.22/x
  3. Step 3: Cross multiply
    416,408.46x = 575,612.16 × 371,531.22
  4. Step 4: Simplify right side
    416,408.46x = 213,857,888,051.64
  5. Step 5: Solve for x
    x = 213,857,888,051.64/416,408.46
  6. Step 6: Final answer
    x = 513,577.19

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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.