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Finding the Fourth Proportional to 474,192.58, 710,561.69 and 322,196.08

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Solution

The fourth proportional to 474,192.58, 710,561.69 and 322,196.08 is: 482,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,192.58 : 710,561.69 = 322,196.08 : x
  2. Step 2: Convert to fraction form
    474,192.58/710,561.69 = 322,196.08/x
  3. Step 3: Cross multiply
    474,192.58x = 710,561.69 × 322,196.08
  4. Step 4: Simplify right side
    474,192.58x = 228,940,191,175.51
  5. Step 5: Solve for x
    x = 228,940,191,175.51/474,192.58
  6. Step 6: Final answer
    x = 482,800.03

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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.