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Finding the Fourth Proportional to 294,218, 406,055.44 and 174,986

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Solution

The fourth proportional to 294,218, 406,055.44 and 174,986 is: 241,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,218 : 406,055.44 = 174,986 : x
  2. Step 2: Convert to fraction form
    294,218/406,055.44 = 174,986/x
  3. Step 3: Cross multiply
    294,218x = 406,055.44 × 174,986
  4. Step 4: Simplify right side
    294,218x = 71,054,017,223.84
  5. Step 5: Solve for x
    x = 71,054,017,223.84/294,218
  6. Step 6: Final answer
    x = 241,501.26

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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.