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Finding the Fourth Proportional to 501,938.72, 692,477.84 and 286,963.28

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Solution

The fourth proportional to 501,938.72, 692,477.84 and 286,963.28 is: 395,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,938.72 : 692,477.84 = 286,963.28 : x
  2. Step 2: Convert to fraction form
    501,938.72/692,477.84 = 286,963.28/x
  3. Step 3: Cross multiply
    501,938.72x = 692,477.84 × 286,963.28
  4. Step 4: Simplify right side
    501,938.72x = 198,715,712,293.72
  5. Step 5: Solve for x
    x = 198,715,712,293.72/501,938.72
  6. Step 6: Final answer
    x = 395,896.36

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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.