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Finding the Fourth Proportional to 460,089.96, 634,869 and 256,092

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Solution

The fourth proportional to 460,089.96, 634,869 and 256,092 is: 353,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,089.96 : 634,869 = 256,092 : x
  2. Step 2: Convert to fraction form
    460,089.96/634,869 = 256,092/x
  3. Step 3: Cross multiply
    460,089.96x = 634,869 × 256,092
  4. Step 4: Simplify right side
    460,089.96x = 162,584,871,948
  5. Step 5: Solve for x
    x = 162,584,871,948/460,089.96
  6. Step 6: Final answer
    x = 353,376.27

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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.