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Finding the Fourth Proportional to 314,006.16, 471,009.36 and 77,353.44

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Solution

The fourth proportional to 314,006.16, 471,009.36 and 77,353.44 is: 116,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,006.16 : 471,009.36 = 77,353.44 : x
  2. Step 2: Convert to fraction form
    314,006.16/471,009.36 = 77,353.44/x
  3. Step 3: Cross multiply
    314,006.16x = 471,009.36 × 77,353.44
  4. Step 4: Simplify right side
    314,006.16x = 36,434,194,268.20
  5. Step 5: Solve for x
    x = 36,434,194,268.20/314,006.16
  6. Step 6: Final answer
    x = 116,030.19

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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.