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Finding the Fourth Proportional to 463,473.72, 695,200.86 and 147,925.26

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Solution

The fourth proportional to 463,473.72, 695,200.86 and 147,925.26 is: 221,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,473.72 : 695,200.86 = 147,925.26 : x
  2. Step 2: Convert to fraction form
    463,473.72/695,200.86 = 147,925.26/x
  3. Step 3: Cross multiply
    463,473.72x = 695,200.86 × 147,925.26
  4. Step 4: Simplify right side
    463,473.72x = 102,837,767,967.72
  5. Step 5: Solve for x
    x = 102,837,767,967.72/463,473.72
  6. Step 6: Final answer
    x = 221,884.79

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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.