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Finding the Fourth Proportional to 524,702.40, 785,741.40 and 419,726.40

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Solution

The fourth proportional to 524,702.40, 785,741.40 and 419,726.40 is: 628,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,702.40 : 785,741.40 = 419,726.40 : x
  2. Step 2: Convert to fraction form
    524,702.40/785,741.40 = 419,726.40/x
  3. Step 3: Cross multiply
    524,702.40x = 785,741.40 × 419,726.40
  4. Step 4: Simplify right side
    524,702.40x = 329,796,409,152.96
  5. Step 5: Solve for x
    x = 329,796,409,152.96/524,702.40
  6. Step 6: Final answer
    x = 628,539.93

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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.