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Finding the Fourth Proportional to 522,779.86, 782,906.76 and 297,457.78

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Solution

The fourth proportional to 522,779.86, 782,906.76 and 297,457.78 is: 445,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,779.86 : 782,906.76 = 297,457.78 : x
  2. Step 2: Convert to fraction form
    522,779.86/782,906.76 = 297,457.78/x
  3. Step 3: Cross multiply
    522,779.86x = 782,906.76 × 297,457.78
  4. Step 4: Simplify right side
    522,779.86x = 232,881,706,776.59
  5. Step 5: Solve for x
    x = 232,881,706,776.59/522,779.86
  6. Step 6: Final answer
    x = 445,468.02

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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.