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Finding the Fourth Proportional to 313,467.78, 432,594.12 and 184,415.34

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Solution

The fourth proportional to 313,467.78, 432,594.12 and 184,415.34 is: 254,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,467.78 : 432,594.12 = 184,415.34 : x
  2. Step 2: Convert to fraction form
    313,467.78/432,594.12 = 184,415.34/x
  3. Step 3: Cross multiply
    313,467.78x = 432,594.12 × 184,415.34
  4. Step 4: Simplify right side
    313,467.78x = 79,776,991,721.80
  5. Step 5: Solve for x
    x = 79,776,991,721.80/313,467.78
  6. Step 6: Final answer
    x = 254,498.22

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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.