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Finding the Fourth Proportional to 434,264.40, 651,243 and 206,533.20

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Solution

The fourth proportional to 434,264.40, 651,243 and 206,533.20 is: 309,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,264.40 : 651,243 = 206,533.20 : x
  2. Step 2: Convert to fraction form
    434,264.40/651,243 = 206,533.20/x
  3. Step 3: Cross multiply
    434,264.40x = 651,243 × 206,533.20
  4. Step 4: Simplify right side
    434,264.40x = 134,503,300,767.60
  5. Step 5: Solve for x
    x = 134,503,300,767.60/434,264.40
  6. Step 6: Final answer
    x = 309,726.75

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