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Finding the Fourth Proportional to 489,435.14, 734,123.20 and 291,018.20

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Solution

The fourth proportional to 489,435.14, 734,123.20 and 291,018.20 is: 436,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,435.14 : 734,123.20 = 291,018.20 : x
  2. Step 2: Convert to fraction form
    489,435.14/734,123.20 = 291,018.20/x
  3. Step 3: Cross multiply
    489,435.14x = 734,123.20 × 291,018.20
  4. Step 4: Simplify right side
    489,435.14x = 213,643,212,242.24
  5. Step 5: Solve for x
    x = 213,643,212,242.24/489,435.14
  6. Step 6: Final answer
    x = 436,509.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.