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Finding the Fourth Proportional to 429,886.38, 593,308.56 and 309,426.42

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Solution

The fourth proportional to 429,886.38, 593,308.56 and 309,426.42 is: 427,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,886.38 : 593,308.56 = 309,426.42 : x
  2. Step 2: Convert to fraction form
    429,886.38/593,308.56 = 309,426.42/x
  3. Step 3: Cross multiply
    429,886.38x = 593,308.56 × 309,426.42
  4. Step 4: Simplify right side
    429,886.38x = 183,585,343,676.16
  5. Step 5: Solve for x
    x = 183,585,343,676.16/429,886.38
  6. Step 6: Final answer
    x = 427,055.50

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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.