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Finding the Fourth Proportional to 546,178.88, 753,418.14 and 341,875.14

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Solution

The fourth proportional to 546,178.88, 753,418.14 and 341,875.14 is: 471,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,178.88 : 753,418.14 = 341,875.14 : x
  2. Step 2: Convert to fraction form
    546,178.88/753,418.14 = 341,875.14/x
  3. Step 3: Cross multiply
    546,178.88x = 753,418.14 × 341,875.14
  4. Step 4: Simplify right side
    546,178.88x = 257,574,932,091.04
  5. Step 5: Solve for x
    x = 257,574,932,091.04/546,178.88
  6. Step 6: Final answer
    x = 471,594.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.