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Finding the Fourth Proportional to 419,141.40, 628,712.10 and 152,813.40

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Solution

The fourth proportional to 419,141.40, 628,712.10 and 152,813.40 is: 229,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,141.40 : 628,712.10 = 152,813.40 : x
  2. Step 2: Convert to fraction form
    419,141.40/628,712.10 = 152,813.40/x
  3. Step 3: Cross multiply
    419,141.40x = 628,712.10 × 152,813.40
  4. Step 4: Simplify right side
    419,141.40x = 96,075,633,622.14
  5. Step 5: Solve for x
    x = 96,075,633,622.14/419,141.40
  6. Step 6: Final answer
    x = 229,220.10

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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.