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Finding the Fourth Proportional to 513,692.94, 709,071.27 and 299,013.42

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Solution

The fourth proportional to 513,692.94, 709,071.27 and 299,013.42 is: 412,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,692.94 : 709,071.27 = 299,013.42 : x
  2. Step 2: Convert to fraction form
    513,692.94/709,071.27 = 299,013.42/x
  3. Step 3: Cross multiply
    513,692.94x = 709,071.27 × 299,013.42
  4. Step 4: Simplify right side
    513,692.94x = 212,021,825,466.44
  5. Step 5: Solve for x
    x = 212,021,825,466.44/513,692.94
  6. Step 6: Final answer
    x = 412,740.39

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1.5x scale

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.