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Finding the Fourth Proportional to 461,512.98, 692,041.41 and 141,588.29

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Solution

The fourth proportional to 461,512.98, 692,041.41 and 141,588.29 is: 212,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,512.98 : 692,041.41 = 141,588.29 : x
  2. Step 2: Convert to fraction form
    461,512.98/692,041.41 = 141,588.29/x
  3. Step 3: Cross multiply
    461,512.98x = 692,041.41 × 141,588.29
  4. Step 4: Simplify right side
    461,512.98x = 97,984,956,390.88
  5. Step 5: Solve for x
    x = 97,984,956,390.88/461,512.98
  6. Step 6: Final answer
    x = 212,312.46

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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.