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Finding the Fourth Proportional to 507,820.38, 701,015.34 and 355,456.98

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Solution

The fourth proportional to 507,820.38, 701,015.34 and 355,456.98 is: 490,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,820.38 : 701,015.34 = 355,456.98 : x
  2. Step 2: Convert to fraction form
    507,820.38/701,015.34 = 355,456.98/x
  3. Step 3: Cross multiply
    507,820.38x = 701,015.34 × 355,456.98
  4. Step 4: Simplify right side
    507,820.38x = 249,180,795,690.07
  5. Step 5: Solve for x
    x = 249,180,795,690.07/507,820.38
  6. Step 6: Final answer
    x = 490,686.88

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Why These Related Problems?

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