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Finding the Fourth Proportional to 501,895.34, 752,728.16 and 299,548.58

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Solution

The fourth proportional to 501,895.34, 752,728.16 and 299,548.58 is: 449,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,895.34 : 752,728.16 = 299,548.58 : x
  2. Step 2: Convert to fraction form
    501,895.34/752,728.16 = 299,548.58/x
  3. Step 3: Cross multiply
    501,895.34x = 752,728.16 × 299,548.58
  4. Step 4: Simplify right side
    501,895.34x = 225,478,651,454.01
  5. Step 5: Solve for x
    x = 225,478,651,454.01/501,895.34
  6. Step 6: Final answer
    x = 449,254.32

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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.