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Finding the Fourth Proportional to 566,493.52, 780,271.82 and 435,420.52

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Solution

The fourth proportional to 566,493.52, 780,271.82 and 435,420.52 is: 599,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,493.52 : 780,271.82 = 435,420.52 : x
  2. Step 2: Convert to fraction form
    566,493.52/780,271.82 = 435,420.52/x
  3. Step 3: Cross multiply
    566,493.52x = 780,271.82 × 435,420.52
  4. Step 4: Simplify right side
    566,493.52x = 339,746,361,605.75
  5. Step 5: Solve for x
    x = 339,746,361,605.75/566,493.52
  6. Step 6: Final answer
    x = 599,735.65

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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.