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Finding the Fourth Proportional to 308,567.76, 463,114.64 and 121,710.48

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Solution

The fourth proportional to 308,567.76, 463,114.64 and 121,710.48 is: 182,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,567.76 : 463,114.64 = 121,710.48 : x
  2. Step 2: Convert to fraction form
    308,567.76/463,114.64 = 121,710.48/x
  3. Step 3: Cross multiply
    308,567.76x = 463,114.64 × 121,710.48
  4. Step 4: Simplify right side
    308,567.76x = 56,365,905,129.43
  5. Step 5: Solve for x
    x = 56,365,905,129.43/308,567.76
  6. Step 6: Final answer
    x = 182,669.46

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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.