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Finding the Fourth Proportional to 429,345.40, 643,762.10 and 263,252.60

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Solution

The fourth proportional to 429,345.40, 643,762.10 and 263,252.60 is: 394,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,345.40 : 643,762.10 = 263,252.60 : x
  2. Step 2: Convert to fraction form
    429,345.40/643,762.10 = 263,252.60/x
  3. Step 3: Cross multiply
    429,345.40x = 643,762.10 × 263,252.60
  4. Step 4: Simplify right side
    429,345.40x = 169,472,046,606.46
  5. Step 5: Solve for x
    x = 169,472,046,606.46/429,345.40
  6. Step 6: Final answer
    x = 394,721.93

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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.