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Finding the Fourth Proportional to 314,971.50, 472,457.26 and 93,355.50

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Solution

The fourth proportional to 314,971.50, 472,457.26 and 93,355.50 is: 140,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,971.50 : 472,457.26 = 93,355.50 : x
  2. Step 2: Convert to fraction form
    314,971.50/472,457.26 = 93,355.50/x
  3. Step 3: Cross multiply
    314,971.50x = 472,457.26 × 93,355.50
  4. Step 4: Simplify right side
    314,971.50x = 44,106,483,735.93
  5. Step 5: Solve for x
    x = 44,106,483,735.93/314,971.50
  6. Step 6: Final answer
    x = 140,033.25

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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.