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Finding the Fourth Proportional to 405,135.40, 607,703.10 and 398,914.60

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Solution

The fourth proportional to 405,135.40, 607,703.10 and 398,914.60 is: 598,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,135.40 : 607,703.10 = 398,914.60 : x
  2. Step 2: Convert to fraction form
    405,135.40/607,703.10 = 398,914.60/x
  3. Step 3: Cross multiply
    405,135.40x = 607,703.10 × 398,914.60
  4. Step 4: Simplify right side
    405,135.40x = 242,421,639,055.26
  5. Step 5: Solve for x
    x = 242,421,639,055.26/405,135.40
  6. Step 6: Final answer
    x = 598,371.90

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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.