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Finding the Fourth Proportional to 335,047.40, 502,959.90 and 202,077.80

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Solution

The fourth proportional to 335,047.40, 502,959.90 and 202,077.80 is: 303,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,047.40 : 502,959.90 = 202,077.80 : x
  2. Step 2: Convert to fraction form
    335,047.40/502,959.90 = 202,077.80/x
  3. Step 3: Cross multiply
    335,047.40x = 502,959.90 × 202,077.80
  4. Step 4: Simplify right side
    335,047.40x = 101,637,030,080.22
  5. Step 5: Solve for x
    x = 101,637,030,080.22/335,047.40
  6. Step 6: Final answer
    x = 303,351.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.