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Finding the Fourth Proportional to 228,011.36, 314,649.24 and 127,409.36

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Solution

The fourth proportional to 228,011.36, 314,649.24 and 127,409.36 is: 175,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,011.36 : 314,649.24 = 127,409.36 : x
  2. Step 2: Convert to fraction form
    228,011.36/314,649.24 = 127,409.36/x
  3. Step 3: Cross multiply
    228,011.36x = 314,649.24 × 127,409.36
  4. Step 4: Simplify right side
    228,011.36x = 40,089,258,292.89
  5. Step 5: Solve for x
    x = 40,089,258,292.89/228,011.36
  6. Step 6: Final answer
    x = 175,821.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.