Home / 314,090.25-471,407.33-164,435.19

Finding the Fourth Proportional to 314,090.25, 471,407.33 and 164,435.19

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Solution

The fourth proportional to 314,090.25, 471,407.33 and 164,435.19 is: 246,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,090.25 : 471,407.33 = 164,435.19 : x
  2. Step 2: Convert to fraction form
    314,090.25/471,407.33 = 164,435.19/x
  3. Step 3: Cross multiply
    314,090.25x = 471,407.33 × 164,435.19
  4. Step 4: Simplify right side
    314,090.25x = 77,515,953,875.94
  5. Step 5: Solve for x
    x = 77,515,953,875.94/314,090.25
  6. Step 6: Final answer
    x = 246,795.16

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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.