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Finding the Fourth Proportional to 577,369.74, 866,296.81 and 257,301.11

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Solution

The fourth proportional to 577,369.74, 866,296.81 and 257,301.11 is: 386,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,369.74 : 866,296.81 = 257,301.11 : x
  2. Step 2: Convert to fraction form
    577,369.74/866,296.81 = 257,301.11/x
  3. Step 3: Cross multiply
    577,369.74x = 866,296.81 × 257,301.11
  4. Step 4: Simplify right side
    577,369.74x = 222,899,130,802.46
  5. Step 5: Solve for x
    x = 222,899,130,802.46/577,369.74
  6. Step 6: Final answer
    x = 386,059.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.