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Finding the Fourth Proportional to 557,274.49, 769,032.01 and 302,627.50

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Solution

The fourth proportional to 557,274.49, 769,032.01 and 302,627.50 is: 417,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,274.49 : 769,032.01 = 302,627.50 : x
  2. Step 2: Convert to fraction form
    557,274.49/769,032.01 = 302,627.50/x
  3. Step 3: Cross multiply
    557,274.49x = 769,032.01 × 302,627.50
  4. Step 4: Simplify right side
    557,274.49x = 232,730,234,606.28
  5. Step 5: Solve for x
    x = 232,730,234,606.28/557,274.49
  6. Step 6: Final answer
    x = 417,622.26

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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.