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Finding the Fourth Proportional to 334,655.40, 501,983.10 and 287,999.40

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Solution

The fourth proportional to 334,655.40, 501,983.10 and 287,999.40 is: 431,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,655.40 : 501,983.10 = 287,999.40 : x
  2. Step 2: Convert to fraction form
    334,655.40/501,983.10 = 287,999.40/x
  3. Step 3: Cross multiply
    334,655.40x = 501,983.10 × 287,999.40
  4. Step 4: Simplify right side
    334,655.40x = 144,570,831,610.14
  5. Step 5: Solve for x
    x = 144,570,831,610.14/334,655.40
  6. Step 6: Final answer
    x = 431,999.10

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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.