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Finding the Fourth Proportional to 262,897.92, 362,374.09 and 205,437.40

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Solution

The fourth proportional to 262,897.92, 362,374.09 and 205,437.40 is: 283,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,897.92 : 362,374.09 = 205,437.40 : x
  2. Step 2: Convert to fraction form
    262,897.92/362,374.09 = 205,437.40/x
  3. Step 3: Cross multiply
    262,897.92x = 362,374.09 × 205,437.40
  4. Step 4: Simplify right side
    262,897.92x = 74,445,189,457.44
  5. Step 5: Solve for x
    x = 74,445,189,457.44/262,897.92
  6. Step 6: Final answer
    x = 283,171.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.