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Finding the Fourth Proportional to 563,819.08, 778,478.66 and 362,965

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Solution

The fourth proportional to 563,819.08, 778,478.66 and 362,965 is: 501,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,819.08 : 778,478.66 = 362,965 : x
  2. Step 2: Convert to fraction form
    563,819.08/778,478.66 = 362,965/x
  3. Step 3: Cross multiply
    563,819.08x = 778,478.66 × 362,965
  4. Step 4: Simplify right side
    563,819.08x = 282,560,506,826.90
  5. Step 5: Solve for x
    x = 282,560,506,826.90/563,819.08
  6. Step 6: Final answer
    x = 501,154.57

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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.