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Finding the Fourth Proportional to 314,268.56, 471,461.52 and 104,054.48

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Solution

The fourth proportional to 314,268.56, 471,461.52 and 104,054.48 is: 156,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,268.56 : 471,461.52 = 104,054.48 : x
  2. Step 2: Convert to fraction form
    314,268.56/471,461.52 = 104,054.48/x
  3. Step 3: Cross multiply
    314,268.56x = 471,461.52 × 104,054.48
  4. Step 4: Simplify right side
    314,268.56x = 49,057,683,303.61
  5. Step 5: Solve for x
    x = 49,057,683,303.61/314,268.56
  6. Step 6: Final answer
    x = 156,101.15

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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.