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Finding the Fourth Proportional to 313,256.77, 432,289.71 and 177,316.49

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Solution

The fourth proportional to 313,256.77, 432,289.71 and 177,316.49 is: 244,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,256.77 : 432,289.71 = 177,316.49 : x
  2. Step 2: Convert to fraction form
    313,256.77/432,289.71 = 177,316.49/x
  3. Step 3: Cross multiply
    313,256.77x = 432,289.71 × 177,316.49
  4. Step 4: Simplify right side
    313,256.77x = 76,652,095,121.04
  5. Step 5: Solve for x
    x = 76,652,095,121.04/313,256.77
  6. Step 6: Final answer
    x = 244,694.14

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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.