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Finding the Fourth Proportional to 314,470.40, 471,014.40 and 307,558.40

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Solution

The fourth proportional to 314,470.40, 471,014.40 and 307,558.40 is: 460,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,470.40 : 471,014.40 = 307,558.40 : x
  2. Step 2: Convert to fraction form
    314,470.40/471,014.40 = 307,558.40/x
  3. Step 3: Cross multiply
    314,470.40x = 471,014.40 × 307,558.40
  4. Step 4: Simplify right side
    314,470.40x = 144,864,435,240.96
  5. Step 5: Solve for x
    x = 144,864,435,240.96/314,470.40
  6. Step 6: Final answer
    x = 460,661.59

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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.