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Finding the Fourth Proportional to 405,459.38, 607,598.57 and 194,851.28

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Solution

The fourth proportional to 405,459.38, 607,598.57 and 194,851.28 is: 291,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,459.38 : 607,598.57 = 194,851.28 : x
  2. Step 2: Convert to fraction form
    405,459.38/607,598.57 = 194,851.28/x
  3. Step 3: Cross multiply
    405,459.38x = 607,598.57 × 194,851.28
  4. Step 4: Simplify right side
    405,459.38x = 118,391,355,078.42
  5. Step 5: Solve for x
    x = 118,391,355,078.42/405,459.38
  6. Step 6: Final answer
    x = 291,993.14

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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.