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Finding the Fourth Proportional to 497,356.60, 745,955.70 and 164,932.60

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Solution

The fourth proportional to 497,356.60, 745,955.70 and 164,932.60 is: 247,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,356.60 : 745,955.70 = 164,932.60 : x
  2. Step 2: Convert to fraction form
    497,356.60/745,955.70 = 164,932.60/x
  3. Step 3: Cross multiply
    497,356.60x = 745,955.70 × 164,932.60
  4. Step 4: Simplify right side
    497,356.60x = 123,032,413,085.82
  5. Step 5: Solve for x
    x = 123,032,413,085.82/497,356.60
  6. Step 6: Final answer
    x = 247,372.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.