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Finding the Fourth Proportional to 501,562.36, 692,156 and 286,707.04

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Solution

The fourth proportional to 501,562.36, 692,156 and 286,707.04 is: 395,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,562.36 : 692,156 = 286,707.04 : x
  2. Step 2: Convert to fraction form
    501,562.36/692,156 = 286,707.04/x
  3. Step 3: Cross multiply
    501,562.36x = 692,156 × 286,707.04
  4. Step 4: Simplify right side
    501,562.36x = 198,445,997,978.24
  5. Step 5: Solve for x
    x = 198,445,997,978.24/501,562.36
  6. Step 6: Final answer
    x = 395,655.68

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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.