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Finding the Fourth Proportional to 563,646.33, 777,915.03 and 356,933.58

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Solution

The fourth proportional to 563,646.33, 777,915.03 and 356,933.58 is: 492,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,646.33 : 777,915.03 = 356,933.58 : x
  2. Step 2: Convert to fraction form
    563,646.33/777,915.03 = 356,933.58/x
  3. Step 3: Cross multiply
    563,646.33x = 777,915.03 × 356,933.58
  4. Step 4: Simplify right side
    563,646.33x = 277,663,996,593.71
  5. Step 5: Solve for x
    x = 277,663,996,593.71/563,646.33
  6. Step 6: Final answer
    x = 492,620.96

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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.