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Finding the Fourth Proportional to 411,293.76, 616,711.40 and 126,903.58

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Solution

The fourth proportional to 411,293.76, 616,711.40 and 126,903.58 is: 190,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,293.76 : 616,711.40 = 126,903.58 : x
  2. Step 2: Convert to fraction form
    411,293.76/616,711.40 = 126,903.58/x
  3. Step 3: Cross multiply
    411,293.76x = 616,711.40 × 126,903.58
  4. Step 4: Simplify right side
    411,293.76x = 78,262,884,486.81
  5. Step 5: Solve for x
    x = 78,262,884,486.81/411,293.76
  6. Step 6: Final answer
    x = 190,284.64

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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.