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Finding the Fourth Proportional to 656,830.72, 906,425.04 and 355,024

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Solution

The fourth proportional to 656,830.72, 906,425.04 and 355,024 is: 489,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,830.72 : 906,425.04 = 355,024 : x
  2. Step 2: Convert to fraction form
    656,830.72/906,425.04 = 355,024/x
  3. Step 3: Cross multiply
    656,830.72x = 906,425.04 × 355,024
  4. Step 4: Simplify right side
    656,830.72x = 321,802,643,400.96
  5. Step 5: Solve for x
    x = 321,802,643,400.96/656,830.72
  6. Step 6: Final answer
    x = 489,932.39

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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.