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Finding the Fourth Proportional to 405,075.40, 607,613.10 and 194,662.60

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Solution

The fourth proportional to 405,075.40, 607,613.10 and 194,662.60 is: 291,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.40 : 607,613.10 = 194,662.60 : x
  2. Step 2: Convert to fraction form
    405,075.40/607,613.10 = 194,662.60/x
  3. Step 3: Cross multiply
    405,075.40x = 607,613.10 × 194,662.60
  4. Step 4: Simplify right side
    405,075.40x = 118,279,545,840.06
  5. Step 5: Solve for x
    x = 118,279,545,840.06/405,075.40
  6. Step 6: Final answer
    x = 291,993.90

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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.