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Finding the Fourth Proportional to 386,447.40, 579,671.10 and 280,693.80

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Solution

The fourth proportional to 386,447.40, 579,671.10 and 280,693.80 is: 421,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,447.40 : 579,671.10 = 280,693.80 : x
  2. Step 2: Convert to fraction form
    386,447.40/579,671.10 = 280,693.80/x
  3. Step 3: Cross multiply
    386,447.40x = 579,671.10 × 280,693.80
  4. Step 4: Simplify right side
    386,447.40x = 162,710,083,809.18
  5. Step 5: Solve for x
    x = 162,710,083,809.18/386,447.40
  6. Step 6: Final answer
    x = 421,040.70

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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.