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Finding the Fourth Proportional to 364,090.14, 502,461.41 and 202,946.36

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Solution

The fourth proportional to 364,090.14, 502,461.41 and 202,946.36 is: 280,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,090.14 : 502,461.41 = 202,946.36 : x
  2. Step 2: Convert to fraction form
    364,090.14/502,461.41 = 202,946.36/x
  3. Step 3: Cross multiply
    364,090.14x = 502,461.41 × 202,946.36
  4. Step 4: Simplify right side
    364,090.14x = 101,972,714,199.97
  5. Step 5: Solve for x
    x = 101,972,714,199.97/364,090.14
  6. Step 6: Final answer
    x = 280,075.46

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