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Finding the Fourth Proportional to 463,314.23, 695,023.20 and 147,697.91

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Solution

The fourth proportional to 463,314.23, 695,023.20 and 147,697.91 is: 221,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,314.23 : 695,023.20 = 147,697.91 : x
  2. Step 2: Convert to fraction form
    463,314.23/695,023.20 = 147,697.91/x
  3. Step 3: Cross multiply
    463,314.23x = 695,023.20 × 147,697.91
  4. Step 4: Simplify right side
    463,314.23x = 102,653,474,041.51
  5. Step 5: Solve for x
    x = 102,653,474,041.51/463,314.23
  6. Step 6: Final answer
    x = 221,563.40

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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.