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Finding the Fourth Proportional to 416,403.90, 624,512.34 and 191,548.35

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Solution

The fourth proportional to 416,403.90, 624,512.34 and 191,548.35 is: 287,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,403.90 : 624,512.34 = 191,548.35 : x
  2. Step 2: Convert to fraction form
    416,403.90/624,512.34 = 191,548.35/x
  3. Step 3: Cross multiply
    416,403.90x = 624,512.34 × 191,548.35
  4. Step 4: Simplify right side
    416,403.90x = 119,624,308,281.64
  5. Step 5: Solve for x
    x = 119,624,308,281.64/416,403.90
  6. Step 6: Final answer
    x = 287,279.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.