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Finding the Fourth Proportional to 492,560.04, 679,731.84 and 266,205

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Solution

The fourth proportional to 492,560.04, 679,731.84 and 266,205 is: 367,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,560.04 : 679,731.84 = 266,205 : x
  2. Step 2: Convert to fraction form
    492,560.04/679,731.84 = 266,205/x
  3. Step 3: Cross multiply
    492,560.04x = 679,731.84 × 266,205
  4. Step 4: Simplify right side
    492,560.04x = 180,948,014,467.20
  5. Step 5: Solve for x
    x = 180,948,014,467.20/492,560.04
  6. Step 6: Final answer
    x = 367,362.35

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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.