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Finding the Fourth Proportional to 519,064.40, 778,596.60 and 414,088.40

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Solution

The fourth proportional to 519,064.40, 778,596.60 and 414,088.40 is: 621,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,064.40 : 778,596.60 = 414,088.40 : x
  2. Step 2: Convert to fraction form
    519,064.40/778,596.60 = 414,088.40/x
  3. Step 3: Cross multiply
    519,064.40x = 778,596.60 × 414,088.40
  4. Step 4: Simplify right side
    519,064.40x = 322,407,820,339.44
  5. Step 5: Solve for x
    x = 322,407,820,339.44/519,064.40
  6. Step 6: Final answer
    x = 621,132.60

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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.