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Finding the Fourth Proportional to 403,303.14, 604,954.80 and 166,385.52

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Solution

The fourth proportional to 403,303.14, 604,954.80 and 166,385.52 is: 249,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,303.14 : 604,954.80 = 166,385.52 : x
  2. Step 2: Convert to fraction form
    403,303.14/604,954.80 = 166,385.52/x
  3. Step 3: Cross multiply
    403,303.14x = 604,954.80 × 166,385.52
  4. Step 4: Simplify right side
    403,303.14x = 100,655,718,974.50
  5. Step 5: Solve for x
    x = 100,655,718,974.50/403,303.14
  6. Step 6: Final answer
    x = 249,578.32

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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.