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Finding the Fourth Proportional to 314,647.08, 472,038.96 and 114,967.14

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Solution

The fourth proportional to 314,647.08, 472,038.96 and 114,967.14 is: 172,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,647.08 : 472,038.96 = 114,967.14 : x
  2. Step 2: Convert to fraction form
    314,647.08/472,038.96 = 114,967.14/x
  3. Step 3: Cross multiply
    314,647.08x = 472,038.96 × 114,967.14
  4. Step 4: Simplify right side
    314,647.08x = 54,268,969,199.77
  5. Step 5: Solve for x
    x = 54,268,969,199.77/314,647.08
  6. Step 6: Final answer
    x = 172,475.68

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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.