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Finding the Fourth Proportional to 296,746.64, 409,497 and 162,607.76

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Solution

The fourth proportional to 296,746.64, 409,497 and 162,607.76 is: 224,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,746.64 : 409,497 = 162,607.76 : x
  2. Step 2: Convert to fraction form
    296,746.64/409,497 = 162,607.76/x
  3. Step 3: Cross multiply
    296,746.64x = 409,497 × 162,607.76
  4. Step 4: Simplify right side
    296,746.64x = 66,587,389,896.72
  5. Step 5: Solve for x
    x = 66,587,389,896.72/296,746.64
  6. Step 6: Final answer
    x = 224,391.39

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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.