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Finding the Fourth Proportional to 280,040.67, 386,456.13 and 152,717.13

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Solution

The fourth proportional to 280,040.67, 386,456.13 and 152,717.13 is: 210,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,040.67 : 386,456.13 = 152,717.13 : x
  2. Step 2: Convert to fraction form
    280,040.67/386,456.13 = 152,717.13/x
  3. Step 3: Cross multiply
    280,040.67x = 386,456.13 × 152,717.13
  4. Step 4: Simplify right side
    280,040.67x = 59,018,471,044.51
  5. Step 5: Solve for x
    x = 59,018,471,044.51/280,040.67
  6. Step 6: Final answer
    x = 210,749.64

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