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Finding the Fourth Proportional to 678,596.40, 1,018,040.40 and 205,329.60

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Solution

The fourth proportional to 678,596.40, 1,018,040.40 and 205,329.60 is: 308,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,596.40 : 1,018,040.40 = 205,329.60 : x
  2. Step 2: Convert to fraction form
    678,596.40/1,018,040.40 = 205,329.60/x
  3. Step 3: Cross multiply
    678,596.40x = 1,018,040.40 × 205,329.60
  4. Step 4: Simplify right side
    678,596.40x = 209,033,828,115.84
  5. Step 5: Solve for x
    x = 209,033,828,115.84/678,596.40
  6. Step 6: Final answer
    x = 308,038.52

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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.