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Finding the Fourth Proportional to 416,390.47, 624,492.29 and 191,534.97

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Solution

The fourth proportional to 416,390.47, 624,492.29 and 191,534.97 is: 287,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390.47 : 624,492.29 = 191,534.97 : x
  2. Step 2: Convert to fraction form
    416,390.47/624,492.29 = 191,534.97/x
  3. Step 3: Cross multiply
    416,390.47x = 624,492.29 × 191,534.97
  4. Step 4: Simplify right side
    416,390.47x = 119,612,107,950.25
  5. Step 5: Solve for x
    x = 119,612,107,950.25/416,390.47
  6. Step 6: Final answer
    x = 287,259.48

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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.