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Finding the Fourth Proportional to 514,905.60, 771,897.60 and 199,257.60

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Solution

The fourth proportional to 514,905.60, 771,897.60 and 199,257.60 is: 298,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,905.60 : 771,897.60 = 199,257.60 : x
  2. Step 2: Convert to fraction form
    514,905.60/771,897.60 = 199,257.60/x
  3. Step 3: Cross multiply
    514,905.60x = 771,897.60 × 199,257.60
  4. Step 4: Simplify right side
    514,905.60x = 153,806,463,221.76
  5. Step 5: Solve for x
    x = 153,806,463,221.76/514,905.60
  6. Step 6: Final answer
    x = 298,708.08

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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.