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Finding the Fourth Proportional to 296,513.27, 409,188.51 and 160,547.32

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Solution

The fourth proportional to 296,513.27, 409,188.51 and 160,547.32 is: 221,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.27 : 409,188.51 = 160,547.32 : x
  2. Step 2: Convert to fraction form
    296,513.27/409,188.51 = 160,547.32/x
  3. Step 3: Cross multiply
    296,513.27x = 409,188.51 × 160,547.32
  4. Step 4: Simplify right side
    296,513.27x = 65,694,116,865.09
  5. Step 5: Solve for x
    x = 65,694,116,865.09/296,513.27
  6. Step 6: Final answer
    x = 221,555.40

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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.