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Finding the Fourth Proportional to 507,258.63, 761,167.98 and 282,745.44

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Solution

The fourth proportional to 507,258.63, 761,167.98 and 282,745.44 is: 424,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,258.63 : 761,167.98 = 282,745.44 : x
  2. Step 2: Convert to fraction form
    507,258.63/761,167.98 = 282,745.44/x
  3. Step 3: Cross multiply
    507,258.63x = 761,167.98 × 282,745.44
  4. Step 4: Simplify right side
    507,258.63x = 215,216,775,419.01
  5. Step 5: Solve for x
    x = 215,216,775,419.01/507,258.63
  6. Step 6: Final answer
    x = 424,274.25

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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.