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Finding the Fourth Proportional to 337,312.80, 505,969.20 and 258,580.80

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Solution

The fourth proportional to 337,312.80, 505,969.20 and 258,580.80 is: 387,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,312.80 : 505,969.20 = 258,580.80 : x
  2. Step 2: Convert to fraction form
    337,312.80/505,969.20 = 258,580.80/x
  3. Step 3: Cross multiply
    337,312.80x = 505,969.20 × 258,580.80
  4. Step 4: Simplify right side
    337,312.80x = 130,833,920,511.36
  5. Step 5: Solve for x
    x = 130,833,920,511.36/337,312.80
  6. Step 6: Final answer
    x = 387,871.20

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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.