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Finding the Fourth Proportional to 524,005.60, 786,008.40 and 419,029.60

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Solution

The fourth proportional to 524,005.60, 786,008.40 and 419,029.60 is: 628,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,005.60 : 786,008.40 = 419,029.60 : x
  2. Step 2: Convert to fraction form
    524,005.60/786,008.40 = 419,029.60/x
  3. Step 3: Cross multiply
    524,005.60x = 786,008.40 × 419,029.60
  4. Step 4: Simplify right side
    524,005.60x = 329,360,785,448.64
  5. Step 5: Solve for x
    x = 329,360,785,448.64/524,005.60
  6. Step 6: Final answer
    x = 628,544.40

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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.