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Finding the Fourth Proportional to 495,825.40, 696,021.80 and 495,825.40

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Solution

The fourth proportional to 495,825.40, 696,021.80 and 495,825.40 is: 696,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,825.40 : 696,021.80 = 495,825.40 : x
  2. Step 2: Convert to fraction form
    495,825.40/696,021.80 = 495,825.40/x
  3. Step 3: Cross multiply
    495,825.40x = 696,021.80 × 495,825.40
  4. Step 4: Simplify right side
    495,825.40x = 345,105,287,393.72
  5. Step 5: Solve for x
    x = 345,105,287,393.72/495,825.40
  6. Step 6: Final answer
    x = 696,021.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.