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Finding the Fourth Proportional to 314,360.34, 471,574.09 and 134,464.38

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Solution

The fourth proportional to 314,360.34, 471,574.09 and 134,464.38 is: 201,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,360.34 : 471,574.09 = 134,464.38 : x
  2. Step 2: Convert to fraction form
    314,360.34/471,574.09 = 134,464.38/x
  3. Step 3: Cross multiply
    314,360.34x = 471,574.09 × 134,464.38
  4. Step 4: Simplify right side
    314,360.34x = 63,409,917,635.91
  5. Step 5: Solve for x
    x = 63,409,917,635.91/314,360.34
  6. Step 6: Final answer
    x = 201,710.93

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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.