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Finding the Fourth Proportional to 541,713.40, 812,699.70 and 260,999.80

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Solution

The fourth proportional to 541,713.40, 812,699.70 and 260,999.80 is: 391,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,713.40 : 812,699.70 = 260,999.80 : x
  2. Step 2: Convert to fraction form
    541,713.40/812,699.70 = 260,999.80/x
  3. Step 3: Cross multiply
    541,713.40x = 812,699.70 × 260,999.80
  4. Step 4: Simplify right side
    541,713.40x = 212,114,459,160.06
  5. Step 5: Solve for x
    x = 212,114,459,160.06/541,713.40
  6. Step 6: Final answer
    x = 391,562.14

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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.