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Finding the Fourth Proportional to 335,090.80, 502,636.20 and 282,602.80

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Solution

The fourth proportional to 335,090.80, 502,636.20 and 282,602.80 is: 423,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,090.80 : 502,636.20 = 282,602.80 : x
  2. Step 2: Convert to fraction form
    335,090.80/502,636.20 = 282,602.80/x
  3. Step 3: Cross multiply
    335,090.80x = 502,636.20 × 282,602.80
  4. Step 4: Simplify right side
    335,090.80x = 142,046,397,501.36
  5. Step 5: Solve for x
    x = 142,046,397,501.36/335,090.80
  6. Step 6: Final answer
    x = 423,904.20

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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.