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Finding the Fourth Proportional to 614,772.40, 922,158.60 and 414,005.80

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Solution

The fourth proportional to 614,772.40, 922,158.60 and 414,005.80 is: 621,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,772.40 : 922,158.60 = 414,005.80 : x
  2. Step 2: Convert to fraction form
    614,772.40/922,158.60 = 414,005.80/x
  3. Step 3: Cross multiply
    614,772.40x = 922,158.60 × 414,005.80
  4. Step 4: Simplify right side
    614,772.40x = 381,779,008,919.88
  5. Step 5: Solve for x
    x = 381,779,008,919.88/614,772.40
  6. Step 6: Final answer
    x = 621,008.70

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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.