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Finding the Fourth Proportional to 342,415.08, 513,692.67 and 117,746.33

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Solution

The fourth proportional to 342,415.08, 513,692.67 and 117,746.33 is: 176,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,415.08 : 513,692.67 = 117,746.33 : x
  2. Step 2: Convert to fraction form
    342,415.08/513,692.67 = 117,746.33/x
  3. Step 3: Cross multiply
    342,415.08x = 513,692.67 × 117,746.33
  4. Step 4: Simplify right side
    342,415.08x = 60,485,423,483.21
  5. Step 5: Solve for x
    x = 60,485,423,483.21/342,415.08
  6. Step 6: Final answer
    x = 176,643.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.