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Finding the Fourth Proportional to 301,477.02, 416,111.67 and 180,689.82

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Solution

The fourth proportional to 301,477.02, 416,111.67 and 180,689.82 is: 249,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,477.02 : 416,111.67 = 180,689.82 : x
  2. Step 2: Convert to fraction form
    301,477.02/416,111.67 = 180,689.82/x
  3. Step 3: Cross multiply
    301,477.02x = 416,111.67 × 180,689.82
  4. Step 4: Simplify right side
    301,477.02x = 75,187,142,752.20
  5. Step 5: Solve for x
    x = 75,187,142,752.20/301,477.02
  6. Step 6: Final answer
    x = 249,395.93

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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.