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Finding the Fourth Proportional to 296,602.32, 409,316.04 and 162,457.68

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Solution

The fourth proportional to 296,602.32, 409,316.04 and 162,457.68 is: 224,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,602.32 : 409,316.04 = 162,457.68 : x
  2. Step 2: Convert to fraction form
    296,602.32/409,316.04 = 162,457.68/x
  3. Step 3: Cross multiply
    296,602.32x = 409,316.04 × 162,457.68
  4. Step 4: Simplify right side
    296,602.32x = 66,496,534,245.19
  5. Step 5: Solve for x
    x = 66,496,534,245.19/296,602.32
  6. Step 6: Final answer
    x = 224,194.25

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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.