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Finding the Fourth Proportional to 523,705.79, 722,775.62 and 294,263.57

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Solution

The fourth proportional to 523,705.79, 722,775.62 and 294,263.57 is: 406,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,705.79 : 722,775.62 = 294,263.57 : x
  2. Step 2: Convert to fraction form
    523,705.79/722,775.62 = 294,263.57/x
  3. Step 3: Cross multiply
    523,705.79x = 722,775.62 × 294,263.57
  4. Step 4: Simplify right side
    523,705.79x = 212,686,532,778.85
  5. Step 5: Solve for x
    x = 212,686,532,778.85/523,705.79
  6. Step 6: Final answer
    x = 406,118.35

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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.