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Finding the Fourth Proportional to 510,564.96, 704,772.46 and 401,384.48

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Solution

The fourth proportional to 510,564.96, 704,772.46 and 401,384.48 is: 554,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,564.96 : 704,772.46 = 401,384.48 : x
  2. Step 2: Convert to fraction form
    510,564.96/704,772.46 = 401,384.48/x
  3. Step 3: Cross multiply
    510,564.96x = 704,772.46 × 401,384.48
  4. Step 4: Simplify right side
    510,564.96x = 282,884,727,375.42
  5. Step 5: Solve for x
    x = 282,884,727,375.42/510,564.96
  6. Step 6: Final answer
    x = 554,062.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.