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Finding the Fourth Proportional to 466,275.84, 643,726.08 and 307,760.64

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Solution

The fourth proportional to 466,275.84, 643,726.08 and 307,760.64 is: 424,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,275.84 : 643,726.08 = 307,760.64 : x
  2. Step 2: Convert to fraction form
    466,275.84/643,726.08 = 307,760.64/x
  3. Step 3: Cross multiply
    466,275.84x = 643,726.08 × 307,760.64
  4. Step 4: Simplify right side
    466,275.84x = 198,113,550,365.49
  5. Step 5: Solve for x
    x = 198,113,550,365.49/466,275.84
  6. Step 6: Final answer
    x = 424,884.87

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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.