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Finding the Fourth Proportional to 510,407.36, 765,412.32 and 210,936.32

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Solution

The fourth proportional to 510,407.36, 765,412.32 and 210,936.32 is: 316,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,407.36 : 765,412.32 = 210,936.32 : x
  2. Step 2: Convert to fraction form
    510,407.36/765,412.32 = 210,936.32/x
  3. Step 3: Cross multiply
    510,407.36x = 765,412.32 × 210,936.32
  4. Step 4: Simplify right side
    510,407.36x = 161,453,258,063.46
  5. Step 5: Solve for x
    x = 161,453,258,063.46/510,407.36
  6. Step 6: Final answer
    x = 316,322.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.