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Finding the Fourth Proportional to 523,705.54, 722,775.30 and 294,263.32

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Solution

The fourth proportional to 523,705.54, 722,775.30 and 294,263.32 is: 406,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,705.54 : 722,775.30 = 294,263.32 : x
  2. Step 2: Convert to fraction form
    523,705.54/722,775.30 = 294,263.32/x
  3. Step 3: Cross multiply
    523,705.54x = 722,775.30 × 294,263.32
  4. Step 4: Simplify right side
    523,705.54x = 212,686,259,392.00
  5. Step 5: Solve for x
    x = 212,686,259,392.00/523,705.54
  6. Step 6: Final answer
    x = 406,118.02

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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.