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Finding the Fourth Proportional to 461,389.67, 692,186.97 and 141,585.88

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Solution

The fourth proportional to 461,389.67, 692,186.97 and 141,585.88 is: 212,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,389.67 : 692,186.97 = 141,585.88 : x
  2. Step 2: Convert to fraction form
    461,389.67/692,186.97 = 141,585.88/x
  3. Step 3: Cross multiply
    461,389.67x = 692,186.97 × 141,585.88
  4. Step 4: Simplify right side
    461,389.67x = 98,003,901,271.98
  5. Step 5: Solve for x
    x = 98,003,901,271.98/461,389.67
  6. Step 6: Final answer
    x = 212,410.26

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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.