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Finding the Fourth Proportional to 341,810.48, 512,567.80 and 141,994.01

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Solution

The fourth proportional to 341,810.48, 512,567.80 and 141,994.01 is: 212,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,810.48 : 512,567.80 = 141,994.01 : x
  2. Step 2: Convert to fraction form
    341,810.48/512,567.80 = 141,994.01/x
  3. Step 3: Cross multiply
    341,810.48x = 512,567.80 × 141,994.01
  4. Step 4: Simplify right side
    341,810.48x = 72,781,558,245.31
  5. Step 5: Solve for x
    x = 72,781,558,245.31/341,810.48
  6. Step 6: Final answer
    x = 212,929.57

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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.