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Finding the Fourth Proportional to 647,570.85, 893,654.29 and 357,194.83

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Solution

The fourth proportional to 647,570.85, 893,654.29 and 357,194.83 is: 492,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,570.85 : 893,654.29 = 357,194.83 : x
  2. Step 2: Convert to fraction form
    647,570.85/893,654.29 = 357,194.83/x
  3. Step 3: Cross multiply
    647,570.85x = 893,654.29 × 357,194.83
  4. Step 4: Simplify right side
    647,570.85x = 319,208,685,941.08
  5. Step 5: Solve for x
    x = 319,208,685,941.08/647,570.85
  6. Step 6: Final answer
    x = 492,932.45

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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.