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Finding the Fourth Proportional to 523,684.64, 722,640.08 and 294,223.93

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Solution

The fourth proportional to 523,684.64, 722,640.08 and 294,223.93 is: 406,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,684.64 : 722,640.08 = 294,223.93 : x
  2. Step 2: Convert to fraction form
    523,684.64/722,640.08 = 294,223.93/x
  3. Step 3: Cross multiply
    523,684.64x = 722,640.08 × 294,223.93
  4. Step 4: Simplify right side
    523,684.64x = 212,618,003,242.07
  5. Step 5: Solve for x
    x = 212,618,003,242.07/523,684.64
  6. Step 6: Final answer
    x = 406,003.89

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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.