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Finding the Fourth Proportional to 295,419.12, 407,655.36 and 174,537.48

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Solution

The fourth proportional to 295,419.12, 407,655.36 and 174,537.48 is: 240,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,419.12 : 407,655.36 = 174,537.48 : x
  2. Step 2: Convert to fraction form
    295,419.12/407,655.36 = 174,537.48/x
  3. Step 3: Cross multiply
    295,419.12x = 407,655.36 × 174,537.48
  4. Step 4: Simplify right side
    295,419.12x = 71,151,139,242.89
  5. Step 5: Solve for x
    x = 71,151,139,242.89/295,419.12
  6. Step 6: Final answer
    x = 240,848.12

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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.