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Finding the Fourth Proportional to 357,268.48, 492,929.52 and 230,017.76

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Solution

The fourth proportional to 357,268.48, 492,929.52 and 230,017.76 is: 317,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,268.48 : 492,929.52 = 230,017.76 : x
  2. Step 2: Convert to fraction form
    357,268.48/492,929.52 = 230,017.76/x
  3. Step 3: Cross multiply
    357,268.48x = 492,929.52 × 230,017.76
  4. Step 4: Simplify right side
    357,268.48x = 113,382,544,028.28
  5. Step 5: Solve for x
    x = 113,382,544,028.28/357,268.48
  6. Step 6: Final answer
    x = 317,359.49

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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.