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Finding the Fourth Proportional to 534,729.40, 802,094.10 and 415,756.60

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Solution

The fourth proportional to 534,729.40, 802,094.10 and 415,756.60 is: 623,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,729.40 : 802,094.10 = 415,756.60 : x
  2. Step 2: Convert to fraction form
    534,729.40/802,094.10 = 415,756.60/x
  3. Step 3: Cross multiply
    534,729.40x = 802,094.10 × 415,756.60
  4. Step 4: Simplify right side
    534,729.40x = 333,475,915,896.06
  5. Step 5: Solve for x
    x = 333,475,915,896.06/534,729.40
  6. Step 6: Final answer
    x = 623,634.90

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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.