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Finding the Fourth Proportional to 563,563, 777,796.50 and 348,772.24

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Solution

The fourth proportional to 563,563, 777,796.50 and 348,772.24 is: 481,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,563 : 777,796.50 = 348,772.24 : x
  2. Step 2: Convert to fraction form
    563,563/777,796.50 = 348,772.24/x
  3. Step 3: Cross multiply
    563,563x = 777,796.50 × 348,772.24
  4. Step 4: Simplify right side
    563,563x = 271,273,827,569.16
  5. Step 5: Solve for x
    x = 271,273,827,569.16/563,563
  6. Step 6: Final answer
    x = 481,354.93

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1.5x scale

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.