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Finding the Fourth Proportional to 314,141.34, 470,933.10 and 114,424.50

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Solution

The fourth proportional to 314,141.34, 470,933.10 and 114,424.50 is: 171,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,141.34 : 470,933.10 = 114,424.50 : x
  2. Step 2: Convert to fraction form
    314,141.34/470,933.10 = 114,424.50/x
  3. Step 3: Cross multiply
    314,141.34x = 470,933.10 × 114,424.50
  4. Step 4: Simplify right side
    314,141.34x = 53,886,284,500.95
  5. Step 5: Solve for x
    x = 53,886,284,500.95/314,141.34
  6. Step 6: Final answer
    x = 171,535.16

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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.