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Finding the Fourth Proportional to 601,477.72, 901,651.46 and 201,838.22

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Solution

The fourth proportional to 601,477.72, 901,651.46 and 201,838.22 is: 302,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,477.72 : 901,651.46 = 201,838.22 : x
  2. Step 2: Convert to fraction form
    601,477.72/901,651.46 = 201,838.22/x
  3. Step 3: Cross multiply
    601,477.72x = 901,651.46 × 201,838.22
  4. Step 4: Simplify right side
    601,477.72x = 181,987,725,746.80
  5. Step 5: Solve for x
    x = 181,987,725,746.80/601,477.72
  6. Step 6: Final answer
    x = 302,567.69

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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.