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Finding the Fourth Proportional to 542,970.80, 816,205.80 and 386,284.40

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Solution

The fourth proportional to 542,970.80, 816,205.80 and 386,284.40 is: 580,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970.80 : 816,205.80 = 386,284.40 : x
  2. Step 2: Convert to fraction form
    542,970.80/816,205.80 = 386,284.40/x
  3. Step 3: Cross multiply
    542,970.80x = 816,205.80 × 386,284.40
  4. Step 4: Simplify right side
    542,970.80x = 315,287,567,729.52
  5. Step 5: Solve for x
    x = 315,287,567,729.52/542,970.80
  6. Step 6: Final answer
    x = 580,671.31

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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.