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Finding the Fourth Proportional to 401,457.92, 601,996.20 and 233,030.22

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Solution

The fourth proportional to 401,457.92, 601,996.20 and 233,030.22 is: 349,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,457.92 : 601,996.20 = 233,030.22 : x
  2. Step 2: Convert to fraction form
    401,457.92/601,996.20 = 233,030.22/x
  3. Step 3: Cross multiply
    401,457.92x = 601,996.20 × 233,030.22
  4. Step 4: Simplify right side
    401,457.92x = 140,283,306,925.16
  5. Step 5: Solve for x
    x = 140,283,306,925.16/401,457.92
  6. Step 6: Final answer
    x = 349,434.65

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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.