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Finding the Fourth Proportional to 338,297.51, 507,646.04 and 125,215.07

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Solution

The fourth proportional to 338,297.51, 507,646.04 and 125,215.07 is: 187,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,297.51 : 507,646.04 = 125,215.07 : x
  2. Step 2: Convert to fraction form
    338,297.51/507,646.04 = 125,215.07/x
  3. Step 3: Cross multiply
    338,297.51x = 507,646.04 × 125,215.07
  4. Step 4: Simplify right side
    338,297.51x = 63,564,931,269.52
  5. Step 5: Solve for x
    x = 63,564,931,269.52/338,297.51
  6. Step 6: Final answer
    x = 187,896.54

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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.