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Finding the Fourth Proportional to 403,201.70, 604,875.45 and 203,018.30

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Solution

The fourth proportional to 403,201.70, 604,875.45 and 203,018.30 is: 304,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,201.70 : 604,875.45 = 203,018.30 : x
  2. Step 2: Convert to fraction form
    403,201.70/604,875.45 = 203,018.30/x
  3. Step 3: Cross multiply
    403,201.70x = 604,875.45 × 203,018.30
  4. Step 4: Simplify right side
    403,201.70x = 122,800,785,570.74
  5. Step 5: Solve for x
    x = 122,800,785,570.74/403,201.70
  6. Step 6: Final answer
    x = 304,564.16

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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.