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Finding the Fourth Proportional to 563,916.63, 778,132.98 and 322,214.86

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Solution

The fourth proportional to 563,916.63, 778,132.98 and 322,214.86 is: 444,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,916.63 : 778,132.98 = 322,214.86 : x
  2. Step 2: Convert to fraction form
    563,916.63/778,132.98 = 322,214.86/x
  3. Step 3: Cross multiply
    563,916.63x = 778,132.98 × 322,214.86
  4. Step 4: Simplify right side
    563,916.63x = 250,726,010,184.75
  5. Step 5: Solve for x
    x = 250,726,010,184.75/563,916.63
  6. Step 6: Final answer
    x = 444,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.