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Finding the Fourth Proportional to 432,054.40, 648,081.60 and 414,558.40

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Solution

The fourth proportional to 432,054.40, 648,081.60 and 414,558.40 is: 621,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,054.40 : 648,081.60 = 414,558.40 : x
  2. Step 2: Convert to fraction form
    432,054.40/648,081.60 = 414,558.40/x
  3. Step 3: Cross multiply
    432,054.40x = 648,081.60 × 414,558.40
  4. Step 4: Simplify right side
    432,054.40x = 268,667,671,165.44
  5. Step 5: Solve for x
    x = 268,667,671,165.44/432,054.40
  6. Step 6: Final answer
    x = 621,837.60

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1.5x scale

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.