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Finding the Fourth Proportional to 562,564.16, 776,185.14 and 320,758.50

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Solution

The fourth proportional to 562,564.16, 776,185.14 and 320,758.50 is: 442,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,564.16 : 776,185.14 = 320,758.50 : x
  2. Step 2: Convert to fraction form
    562,564.16/776,185.14 = 320,758.50/x
  3. Step 3: Cross multiply
    562,564.16x = 776,185.14 × 320,758.50
  4. Step 4: Simplify right side
    562,564.16x = 248,967,981,228.69
  5. Step 5: Solve for x
    x = 248,967,981,228.69/562,564.16
  6. Step 6: Final answer
    x = 442,559.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.