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Finding the Fourth Proportional to 343,893.60, 515,840.40 and 144,147.60

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Solution

The fourth proportional to 343,893.60, 515,840.40 and 144,147.60 is: 216,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,893.60 : 515,840.40 = 144,147.60 : x
  2. Step 2: Convert to fraction form
    343,893.60/515,840.40 = 144,147.60/x
  3. Step 3: Cross multiply
    343,893.60x = 515,840.40 × 144,147.60
  4. Step 4: Simplify right side
    343,893.60x = 74,357,155,643.04
  5. Step 5: Solve for x
    x = 74,357,155,643.04/343,893.60
  6. Step 6: Final answer
    x = 216,221.40

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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.