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Finding the Fourth Proportional to 501,672.48, 692,262.20 and 297,688.28

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Solution

The fourth proportional to 501,672.48, 692,262.20 and 297,688.28 is: 410,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,672.48 : 692,262.20 = 297,688.28 : x
  2. Step 2: Convert to fraction form
    501,672.48/692,262.20 = 297,688.28/x
  3. Step 3: Cross multiply
    501,672.48x = 692,262.20 × 297,688.28
  4. Step 4: Simplify right side
    501,672.48x = 206,078,343,627.02
  5. Step 5: Solve for x
    x = 206,078,343,627.02/501,672.48
  6. Step 6: Final answer
    x = 410,782.64

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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.