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Finding the Fourth Proportional to 312,447.51, 468,574.34 and 112,742.01

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Solution

The fourth proportional to 312,447.51, 468,574.34 and 112,742.01 is: 169,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.51 : 468,574.34 = 112,742.01 : x
  2. Step 2: Convert to fraction form
    312,447.51/468,574.34 = 112,742.01/x
  3. Step 3: Cross multiply
    312,447.51x = 468,574.34 × 112,742.01
  4. Step 4: Simplify right side
    312,447.51x = 52,828,012,362.31
  5. Step 5: Solve for x
    x = 52,828,012,362.31/312,447.51
  6. Step 6: Final answer
    x = 169,078.04

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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.