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Finding the Fourth Proportional to 260,098.40, 364,837.60 and 260,098.40

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Solution

The fourth proportional to 260,098.40, 364,837.60 and 260,098.40 is: 364,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,098.40 : 364,837.60 = 260,098.40 : x
  2. Step 2: Convert to fraction form
    260,098.40/364,837.60 = 260,098.40/x
  3. Step 3: Cross multiply
    260,098.40x = 364,837.60 × 260,098.40
  4. Step 4: Simplify right side
    260,098.40x = 94,893,676,019.84
  5. Step 5: Solve for x
    x = 94,893,676,019.84/260,098.40
  6. Step 6: Final answer
    x = 364,837.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.