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Finding the Fourth Proportional to 314,525.83, 471,775.56 and 101,289.02

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Solution

The fourth proportional to 314,525.83, 471,775.56 and 101,289.02 is: 151,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,525.83 : 471,775.56 = 101,289.02 : x
  2. Step 2: Convert to fraction form
    314,525.83/471,775.56 = 101,289.02/x
  3. Step 3: Cross multiply
    314,525.83x = 471,775.56 × 101,289.02
  4. Step 4: Simplify right side
    314,525.83x = 47,785,684,385.57
  5. Step 5: Solve for x
    x = 47,785,684,385.57/314,525.83
  6. Step 6: Final answer
    x = 151,929.29

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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.