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Finding the Fourth Proportional to 405,759.98, 608,521.01 and 152,858.00

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Solution

The fourth proportional to 405,759.98, 608,521.01 and 152,858.00 is: 229,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,759.98 : 608,521.01 = 152,858.00 : x
  2. Step 2: Convert to fraction form
    405,759.98/608,521.01 = 152,858.00/x
  3. Step 3: Cross multiply
    405,759.98x = 608,521.01 × 152,858.00
  4. Step 4: Simplify right side
    405,759.98x = 93,017,305,303.59
  5. Step 5: Solve for x
    x = 93,017,305,303.59/405,759.98
  6. Step 6: Final answer
    x = 229,242.19

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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.