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Finding the Fourth Proportional to 458,355.86, 686,830.53 and 191,970.62

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Solution

The fourth proportional to 458,355.86, 686,830.53 and 191,970.62 is: 287,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,355.86 : 686,830.53 = 191,970.62 : x
  2. Step 2: Convert to fraction form
    458,355.86/686,830.53 = 191,970.62/x
  3. Step 3: Cross multiply
    458,355.86x = 686,830.53 × 191,970.62
  4. Step 4: Simplify right side
    458,355.86x = 131,851,282,679.03
  5. Step 5: Solve for x
    x = 131,851,282,679.03/458,355.86
  6. Step 6: Final answer
    x = 287,661.39

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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.