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Finding the Fourth Proportional to 501,562.35, 692,156.01 and 286,707.03

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Solution

The fourth proportional to 501,562.35, 692,156.01 and 286,707.03 is: 395,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,562.35 : 692,156.01 = 286,707.03 : x
  2. Step 2: Convert to fraction form
    501,562.35/692,156.01 = 286,707.03/x
  3. Step 3: Cross multiply
    501,562.35x = 692,156.01 × 286,707.03
  4. Step 4: Simplify right side
    501,562.35x = 198,445,993,923.75
  5. Step 5: Solve for x
    x = 198,445,993,923.75/501,562.35
  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.