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Finding the Fourth Proportional to 458,465.10, 687,706.14 and 158,955.44

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Solution

The fourth proportional to 458,465.10, 687,706.14 and 158,955.44 is: 238,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,465.10 : 687,706.14 = 158,955.44 : x
  2. Step 2: Convert to fraction form
    458,465.10/687,706.14 = 158,955.44/x
  3. Step 3: Cross multiply
    458,465.10x = 687,706.14 × 158,955.44
  4. Step 4: Simplify right side
    458,465.10x = 109,314,632,074.40
  5. Step 5: Solve for x
    x = 109,314,632,074.40/458,465.10
  6. Step 6: Final answer
    x = 238,436.10

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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.