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Finding the Fourth Proportional to 563,181.77, 847,169.92 and 510,508.93

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Solution

The fourth proportional to 563,181.77, 847,169.92 and 510,508.93 is: 767,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,181.77 : 847,169.92 = 510,508.93 : x
  2. Step 2: Convert to fraction form
    563,181.77/847,169.92 = 510,508.93/x
  3. Step 3: Cross multiply
    563,181.77x = 847,169.92 × 510,508.93
  4. Step 4: Simplify right side
    563,181.77x = 432,487,809,387.39
  5. Step 5: Solve for x
    x = 432,487,809,387.39/563,181.77
  6. Step 6: Final answer
    x = 767,936.45

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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.