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Finding the Fourth Proportional to 550,411.04, 759,597.92 and 414,200

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Solution

The fourth proportional to 550,411.04, 759,597.92 and 414,200 is: 571,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,411.04 : 759,597.92 = 414,200 : x
  2. Step 2: Convert to fraction form
    550,411.04/759,597.92 = 414,200/x
  3. Step 3: Cross multiply
    550,411.04x = 759,597.92 × 414,200
  4. Step 4: Simplify right side
    550,411.04x = 314,625,458,464
  5. Step 5: Solve for x
    x = 314,625,458,464/550,411.04
  6. Step 6: Final answer
    x = 571,619.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.