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Finding the Fourth Proportional to 294,902.81, 406,961 and 164,075.41

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Solution

The fourth proportional to 294,902.81, 406,961 and 164,075.41 is: 226,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,902.81 : 406,961 = 164,075.41 : x
  2. Step 2: Convert to fraction form
    294,902.81/406,961 = 164,075.41/x
  3. Step 3: Cross multiply
    294,902.81x = 406,961 × 164,075.41
  4. Step 4: Simplify right side
    294,902.81x = 66,772,292,929.01
  5. Step 5: Solve for x
    x = 66,772,292,929.01/294,902.81
  6. Step 6: Final answer
    x = 226,421.35

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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.