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Finding the Fourth Proportional to 614,720.40, 922,080.60 and 413,953.80

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Solution

The fourth proportional to 614,720.40, 922,080.60 and 413,953.80 is: 620,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,720.40 : 922,080.60 = 413,953.80 : x
  2. Step 2: Convert to fraction form
    614,720.40/922,080.60 = 413,953.80/x
  3. Step 3: Cross multiply
    614,720.40x = 922,080.60 × 413,953.80
  4. Step 4: Simplify right side
    614,720.40x = 381,698,768,276.28
  5. Step 5: Solve for x
    x = 381,698,768,276.28/614,720.40
  6. Step 6: Final answer
    x = 620,930.70

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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.