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Finding the Fourth Proportional to 507,961, 761,854.38 and 238,116.52

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Solution

The fourth proportional to 507,961, 761,854.38 and 238,116.52 is: 357,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,961 : 761,854.38 = 238,116.52 : x
  2. Step 2: Convert to fraction form
    507,961/761,854.38 = 238,116.52/x
  3. Step 3: Cross multiply
    507,961x = 761,854.38 × 238,116.52
  4. Step 4: Simplify right side
    507,961x = 181,410,113,712.36
  5. Step 5: Solve for x
    x = 181,410,113,712.36/507,961
  6. Step 6: Final answer
    x = 357,133.94

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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.