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Finding the Fourth Proportional to 557,274.48, 769,032.02 and 302,627.50

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Solution

The fourth proportional to 557,274.48, 769,032.02 and 302,627.50 is: 417,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,274.48 : 769,032.02 = 302,627.50 : x
  2. Step 2: Convert to fraction form
    557,274.48/769,032.02 = 302,627.50/x
  3. Step 3: Cross multiply
    557,274.48x = 769,032.02 × 302,627.50
  4. Step 4: Simplify right side
    557,274.48x = 232,730,237,632.55
  5. Step 5: Solve for x
    x = 232,730,237,632.55/557,274.48
  6. Step 6: Final answer
    x = 417,622.28

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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.