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Finding the Fourth Proportional to 386,938.96, 533,999.66 and 257,655.76

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Solution

The fourth proportional to 386,938.96, 533,999.66 and 257,655.76 is: 355,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,938.96 : 533,999.66 = 257,655.76 : x
  2. Step 2: Convert to fraction form
    386,938.96/533,999.66 = 257,655.76/x
  3. Step 3: Cross multiply
    386,938.96x = 533,999.66 × 257,655.76
  4. Step 4: Simplify right side
    386,938.96x = 137,588,088,237.04
  5. Step 5: Solve for x
    x = 137,588,088,237.04/386,938.96
  6. Step 6: Final answer
    x = 355,580.86

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