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Finding the Fourth Proportional to 539,696.40, 808,853.40 and 414,416.40

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Solution

The fourth proportional to 539,696.40, 808,853.40 and 414,416.40 is: 621,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,696.40 : 808,853.40 = 414,416.40 : x
  2. Step 2: Convert to fraction form
    539,696.40/808,853.40 = 414,416.40/x
  3. Step 3: Cross multiply
    539,696.40x = 808,853.40 × 414,416.40
  4. Step 4: Simplify right side
    539,696.40x = 335,202,114,155.76
  5. Step 5: Solve for x
    x = 335,202,114,155.76/539,696.40
  6. Step 6: Final answer
    x = 621,093.85

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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.