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Finding the Fourth Proportional to 429,154.51, 592,194.10 and 254,694.63

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Solution

The fourth proportional to 429,154.51, 592,194.10 and 254,694.63 is: 351,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,154.51 : 592,194.10 = 254,694.63 : x
  2. Step 2: Convert to fraction form
    429,154.51/592,194.10 = 254,694.63/x
  3. Step 3: Cross multiply
    429,154.51x = 592,194.10 × 254,694.63
  4. Step 4: Simplify right side
    429,154.51x = 150,828,657,187.68
  5. Step 5: Solve for x
    x = 150,828,657,187.68/429,154.51
  6. Step 6: Final answer
    x = 351,455.37

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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.