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Finding the Fourth Proportional to 472,856.80, 708,118.80 and 314,226.40

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Solution

The fourth proportional to 472,856.80, 708,118.80 and 314,226.40 is: 470,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,856.80 : 708,118.80 = 314,226.40 : x
  2. Step 2: Convert to fraction form
    472,856.80/708,118.80 = 314,226.40/x
  3. Step 3: Cross multiply
    472,856.80x = 708,118.80 × 314,226.40
  4. Step 4: Simplify right side
    472,856.80x = 222,509,621,296.32
  5. Step 5: Solve for x
    x = 222,509,621,296.32/472,856.80
  6. Step 6: Final answer
    x = 470,564.49

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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.