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Finding the Fourth Proportional to 524,039.06, 723,083.80 and 294,564.51

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Solution

The fourth proportional to 524,039.06, 723,083.80 and 294,564.51 is: 406,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,039.06 : 723,083.80 = 294,564.51 : x
  2. Step 2: Convert to fraction form
    524,039.06/723,083.80 = 294,564.51/x
  3. Step 3: Cross multiply
    524,039.06x = 723,083.80 × 294,564.51
  4. Step 4: Simplify right side
    524,039.06x = 212,994,823,763.12
  5. Step 5: Solve for x
    x = 212,994,823,763.12/524,039.06
  6. Step 6: Final answer
    x = 406,448.37

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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.