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Finding the Fourth Proportional to 355,866, 533,742.49 and 166,457.82

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Solution

The fourth proportional to 355,866, 533,742.49 and 166,457.82 is: 249,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,866 : 533,742.49 = 166,457.82 : x
  2. Step 2: Convert to fraction form
    355,866/533,742.49 = 166,457.82/x
  3. Step 3: Cross multiply
    355,866x = 533,742.49 × 166,457.82
  4. Step 4: Simplify right side
    355,866x = 88,845,611,326.77
  5. Step 5: Solve for x
    x = 88,845,611,326.77/355,866
  6. Step 6: Final answer
    x = 249,660.30

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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.