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Finding the Fourth Proportional to 291,692.36, 437,547.78 and 92,014.52

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Solution

The fourth proportional to 291,692.36, 437,547.78 and 92,014.52 is: 138,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,692.36 : 437,547.78 = 92,014.52 : x
  2. Step 2: Convert to fraction form
    291,692.36/437,547.78 = 92,014.52/x
  3. Step 3: Cross multiply
    291,692.36x = 437,547.78 × 92,014.52
  4. Step 4: Simplify right side
    291,692.36x = 40,260,748,953.77
  5. Step 5: Solve for x
    x = 40,260,748,953.77/291,692.36
  6. Step 6: Final answer
    x = 138,024.69

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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.