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Finding the Fourth Proportional to 416,284.20, 621,414.14 and 365,840.16

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Solution

The fourth proportional to 416,284.20, 621,414.14 and 365,840.16 is: 546,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,284.20 : 621,414.14 = 365,840.16 : x
  2. Step 2: Convert to fraction form
    416,284.20/621,414.14 = 365,840.16/x
  3. Step 3: Cross multiply
    416,284.20x = 621,414.14 × 365,840.16
  4. Step 4: Simplify right side
    416,284.20x = 227,338,248,403.86
  5. Step 5: Solve for x
    x = 227,338,248,403.86/416,284.20
  6. Step 6: Final answer
    x = 546,113.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.