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Finding the Fourth Proportional to 354,461.61, 531,478.20 and 141,262.32

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Solution

The fourth proportional to 354,461.61, 531,478.20 and 141,262.32 is: 211,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,461.61 : 531,478.20 = 141,262.32 : x
  2. Step 2: Convert to fraction form
    354,461.61/531,478.20 = 141,262.32/x
  3. Step 3: Cross multiply
    354,461.61x = 531,478.20 × 141,262.32
  4. Step 4: Simplify right side
    354,461.61x = 75,077,843,561.42
  5. Step 5: Solve for x
    x = 75,077,843,561.42/354,461.61
  6. Step 6: Final answer
    x = 211,808.11

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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.