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Finding the Fourth Proportional to 258,998.40, 388,670.40 and 146,678.40

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Solution

The fourth proportional to 258,998.40, 388,670.40 and 146,678.40 is: 220,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,998.40 : 388,670.40 = 146,678.40 : x
  2. Step 2: Convert to fraction form
    258,998.40/388,670.40 = 146,678.40/x
  3. Step 3: Cross multiply
    258,998.40x = 388,670.40 × 146,678.40
  4. Step 4: Simplify right side
    258,998.40x = 57,009,552,399.36
  5. Step 5: Solve for x
    x = 57,009,552,399.36/258,998.40
  6. Step 6: Final answer
    x = 220,115.46

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1.5x scale

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.