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Finding the Fourth Proportional to 467,496, 701,360.64 and 135,072

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Solution

The fourth proportional to 467,496, 701,360.64 and 135,072 is: 202,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,496 : 701,360.64 = 135,072 : x
  2. Step 2: Convert to fraction form
    467,496/701,360.64 = 135,072/x
  3. Step 3: Cross multiply
    467,496x = 701,360.64 × 135,072
  4. Step 4: Simplify right side
    467,496x = 94,734,184,366.08
  5. Step 5: Solve for x
    x = 94,734,184,366.08/467,496
  6. Step 6: Final answer
    x = 202,641.70

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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.