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Finding the Fourth Proportional to 522,858, 784,403.64 and 190,434

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Solution

The fourth proportional to 522,858, 784,403.64 and 190,434 is: 285,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,858 : 784,403.64 = 190,434 : x
  2. Step 2: Convert to fraction form
    522,858/784,403.64 = 190,434/x
  3. Step 3: Cross multiply
    522,858x = 784,403.64 × 190,434
  4. Step 4: Simplify right side
    522,858x = 149,377,122,779.76
  5. Step 5: Solve for x
    x = 149,377,122,779.76/522,858
  6. Step 6: Final answer
    x = 285,693.48

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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.