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Finding the Fourth Proportional to 466,561.98, 643,652.73 and 285,281.46

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Solution

The fourth proportional to 466,561.98, 643,652.73 and 285,281.46 is: 393,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,561.98 : 643,652.73 = 285,281.46 : x
  2. Step 2: Convert to fraction form
    466,561.98/643,652.73 = 285,281.46/x
  3. Step 3: Cross multiply
    466,561.98x = 643,652.73 × 285,281.46
  4. Step 4: Simplify right side
    466,561.98x = 183,622,190,547.39
  5. Step 5: Solve for x
    x = 183,622,190,547.39/466,561.98
  6. Step 6: Final answer
    x = 393,564.41

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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.