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Finding the Fourth Proportional to 314,880.48, 472,483.60 and 125,300

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Solution

The fourth proportional to 314,880.48, 472,483.60 and 125,300 is: 188,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,880.48 : 472,483.60 = 125,300 : x
  2. Step 2: Convert to fraction form
    314,880.48/472,483.60 = 125,300/x
  3. Step 3: Cross multiply
    314,880.48x = 472,483.60 × 125,300
  4. Step 4: Simplify right side
    314,880.48x = 59,202,195,080
  5. Step 5: Solve for x
    x = 59,202,195,080/314,880.48
  6. Step 6: Final answer
    x = 188,014.81

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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.