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Finding the Fourth Proportional to 563,506.74, 845,312.21 and 203,767.38

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Solution

The fourth proportional to 563,506.74, 845,312.21 and 203,767.38 is: 305,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,506.74 : 845,312.21 = 203,767.38 : x
  2. Step 2: Convert to fraction form
    563,506.74/845,312.21 = 203,767.38/x
  3. Step 3: Cross multiply
    563,506.74x = 845,312.21 × 203,767.38
  4. Step 4: Simplify right side
    563,506.74x = 172,247,054,313.71
  5. Step 5: Solve for x
    x = 172,247,054,313.71/563,506.74
  6. Step 6: Final answer
    x = 305,669.91

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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.