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Finding the Fourth Proportional to 335,502, 463,019.40 and 192,275.34

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Solution

The fourth proportional to 335,502, 463,019.40 and 192,275.34 is: 265,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,502 : 463,019.40 = 192,275.34 : x
  2. Step 2: Convert to fraction form
    335,502/463,019.40 = 192,275.34/x
  3. Step 3: Cross multiply
    335,502x = 463,019.40 × 192,275.34
  4. Step 4: Simplify right side
    335,502x = 89,027,212,561.60
  5. Step 5: Solve for x
    x = 89,027,212,561.60/335,502
  6. Step 6: Final answer
    x = 265,355.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.