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Finding the Fourth Proportional to 409,701.68, 565,513.28 and 237,663.12

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Solution

The fourth proportional to 409,701.68, 565,513.28 and 237,663.12 is: 328,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,701.68 : 565,513.28 = 237,663.12 : x
  2. Step 2: Convert to fraction form
    409,701.68/565,513.28 = 237,663.12/x
  3. Step 3: Cross multiply
    409,701.68x = 565,513.28 × 237,663.12
  4. Step 4: Simplify right side
    409,701.68x = 134,401,650,526.23
  5. Step 5: Solve for x
    x = 134,401,650,526.23/409,701.68
  6. Step 6: Final answer
    x = 328,047.59

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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.