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Finding the Fourth Proportional to 386,457.48, 533,266.74 and 233,587.80

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Solution

The fourth proportional to 386,457.48, 533,266.74 and 233,587.80 is: 322,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,457.48 : 533,266.74 = 233,587.80 : x
  2. Step 2: Convert to fraction form
    386,457.48/533,266.74 = 233,587.80/x
  3. Step 3: Cross multiply
    386,457.48x = 533,266.74 × 233,587.80
  4. Step 4: Simplify right side
    386,457.48x = 124,564,604,609.77
  5. Step 5: Solve for x
    x = 124,564,604,609.77/386,457.48
  6. Step 6: Final answer
    x = 322,324.22

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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.