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Finding the Fourth Proportional to 471,742.83, 707,023.55 and 371,507.16

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Solution

The fourth proportional to 471,742.83, 707,023.55 and 371,507.16 is: 556,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,742.83 : 707,023.55 = 371,507.16 : x
  2. Step 2: Convert to fraction form
    471,742.83/707,023.55 = 371,507.16/x
  3. Step 3: Cross multiply
    471,742.83x = 707,023.55 × 371,507.16
  4. Step 4: Simplify right side
    471,742.83x = 262,664,309,256.08
  5. Step 5: Solve for x
    x = 262,664,309,256.08/471,742.83
  6. Step 6: Final answer
    x = 556,795.55

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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.