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Finding the Fourth Proportional to 296,424.03, 409,066.14 and 160,457.94

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Solution

The fourth proportional to 296,424.03, 409,066.14 and 160,457.94 is: 221,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,424.03 : 409,066.14 = 160,457.94 : x
  2. Step 2: Convert to fraction form
    296,424.03/409,066.14 = 160,457.94/x
  3. Step 3: Cross multiply
    296,424.03x = 409,066.14 × 160,457.94
  4. Step 4: Simplify right side
    296,424.03x = 65,637,910,148.15
  5. Step 5: Solve for x
    x = 65,637,910,148.15/296,424.03
  6. Step 6: Final answer
    x = 221,432.49

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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.