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Finding the Fourth Proportional to 314,724.69, 472,133.93 and 112,305.01

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Solution

The fourth proportional to 314,724.69, 472,133.93 and 112,305.01 is: 168,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,724.69 : 472,133.93 = 112,305.01 : x
  2. Step 2: Convert to fraction form
    314,724.69/472,133.93 = 112,305.01/x
  3. Step 3: Cross multiply
    314,724.69x = 472,133.93 × 112,305.01
  4. Step 4: Simplify right side
    314,724.69x = 53,023,005,729.99
  5. Step 5: Solve for x
    x = 53,023,005,729.99/314,724.69
  6. Step 6: Final answer
    x = 168,474.25

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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.