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Finding the Fourth Proportional to 210,419.47, 315,630.06 and 52,647.49

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Solution

The fourth proportional to 210,419.47, 315,630.06 and 52,647.49 is: 78,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,419.47 : 315,630.06 = 52,647.49 : x
  2. Step 2: Convert to fraction form
    210,419.47/315,630.06 = 52,647.49/x
  3. Step 3: Cross multiply
    210,419.47x = 315,630.06 × 52,647.49
  4. Step 4: Simplify right side
    210,419.47x = 16,617,130,427.55
  5. Step 5: Solve for x
    x = 16,617,130,427.55/210,419.47
  6. Step 6: Final answer
    x = 78,971.45

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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.