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Finding the Fourth Proportional to 469,702, 648,188.80 and 268,502.32

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Solution

The fourth proportional to 469,702, 648,188.80 and 268,502.32 is: 370,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,702 : 648,188.80 = 268,502.32 : x
  2. Step 2: Convert to fraction form
    469,702/648,188.80 = 268,502.32/x
  3. Step 3: Cross multiply
    469,702x = 648,188.80 × 268,502.32
  4. Step 4: Simplify right side
    469,702x = 174,040,196,598.02
  5. Step 5: Solve for x
    x = 174,040,196,598.02/469,702
  6. Step 6: Final answer
    x = 370,533.22

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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.