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Finding the Fourth Proportional to 472,953.80, 708,264.30 and 314,323.40

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Solution

The fourth proportional to 472,953.80, 708,264.30 and 314,323.40 is: 470,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,953.80 : 708,264.30 = 314,323.40 : x
  2. Step 2: Convert to fraction form
    472,953.80/708,264.30 = 314,323.40/x
  3. Step 3: Cross multiply
    472,953.80x = 708,264.30 × 314,323.40
  4. Step 4: Simplify right side
    472,953.80x = 222,624,042,874.62
  5. Step 5: Solve for x
    x = 222,624,042,874.62/472,953.80
  6. Step 6: Final answer
    x = 470,709.91

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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.