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Finding the Fourth Proportional to 313,710.16, 470,585.72 and 229,721.68

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Solution

The fourth proportional to 313,710.16, 470,585.72 and 229,721.68 is: 344,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.16 : 470,585.72 = 229,721.68 : x
  2. Step 2: Convert to fraction form
    313,710.16/470,585.72 = 229,721.68/x
  3. Step 3: Cross multiply
    313,710.16x = 470,585.72 × 229,721.68
  4. Step 4: Simplify right side
    313,710.16x = 108,103,742,182.41
  5. Step 5: Solve for x
    x = 108,103,742,182.41/313,710.16
  6. Step 6: Final answer
    x = 344,597.52

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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.