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Finding the Fourth Proportional to 360,914.48, 541,369.29 and 282,095

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Solution

The fourth proportional to 360,914.48, 541,369.29 and 282,095 is: 423,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,914.48 : 541,369.29 = 282,095 : x
  2. Step 2: Convert to fraction form
    360,914.48/541,369.29 = 282,095/x
  3. Step 3: Cross multiply
    360,914.48x = 541,369.29 × 282,095
  4. Step 4: Simplify right side
    360,914.48x = 152,717,569,862.55
  5. Step 5: Solve for x
    x = 152,717,569,862.55/360,914.48
  6. Step 6: Final answer
    x = 423,140.60

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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.