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Finding the Fourth Proportional to 429,447.78, 592,692.60 and 259,683.12

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Solution

The fourth proportional to 429,447.78, 592,692.60 and 259,683.12 is: 358,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,447.78 : 592,692.60 = 259,683.12 : x
  2. Step 2: Convert to fraction form
    429,447.78/592,692.60 = 259,683.12/x
  3. Step 3: Cross multiply
    429,447.78x = 592,692.60 × 259,683.12
  4. Step 4: Simplify right side
    429,447.78x = 153,912,263,568.91
  5. Step 5: Solve for x
    x = 153,912,263,568.91/429,447.78
  6. Step 6: Final answer
    x = 358,395.76

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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.