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Finding the Fourth Proportional to 283,296.80, 424,070.40 and 164,615.60

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Solution

The fourth proportional to 283,296.80, 424,070.40 and 164,615.60 is: 246,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,296.80 : 424,070.40 = 164,615.60 : x
  2. Step 2: Convert to fraction form
    283,296.80/424,070.40 = 164,615.60/x
  3. Step 3: Cross multiply
    283,296.80x = 424,070.40 × 164,615.60
  4. Step 4: Simplify right side
    283,296.80x = 69,808,603,338.24
  5. Step 5: Solve for x
    x = 69,808,603,338.24/283,296.80
  6. Step 6: Final answer
    x = 246,415.08

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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.