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Finding the Fourth Proportional to 314,598.31, 434,152.33 and 171,358.01

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Solution

The fourth proportional to 314,598.31, 434,152.33 and 171,358.01 is: 236,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,598.31 : 434,152.33 = 171,358.01 : x
  2. Step 2: Convert to fraction form
    314,598.31/434,152.33 = 171,358.01/x
  3. Step 3: Cross multiply
    314,598.31x = 434,152.33 × 171,358.01
  4. Step 4: Simplify right side
    314,598.31x = 74,395,479,305.66
  5. Step 5: Solve for x
    x = 74,395,479,305.66/314,598.31
  6. Step 6: Final answer
    x = 236,477.68

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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.