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Finding the Fourth Proportional to 596,722.93, 823,495.46 and 367,412.51

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Solution

The fourth proportional to 596,722.93, 823,495.46 and 367,412.51 is: 507,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,722.93 : 823,495.46 = 367,412.51 : x
  2. Step 2: Convert to fraction form
    596,722.93/823,495.46 = 367,412.51/x
  3. Step 3: Cross multiply
    596,722.93x = 823,495.46 × 367,412.51
  4. Step 4: Simplify right side
    596,722.93x = 302,562,531,588.41
  5. Step 5: Solve for x
    x = 302,562,531,588.41/596,722.93
  6. Step 6: Final answer
    x = 507,040.23

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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.