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Finding the Fourth Proportional to 314,345.64, 433,789.38 and 180,201

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Solution

The fourth proportional to 314,345.64, 433,789.38 and 180,201 is: 248,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,345.64 : 433,789.38 = 180,201 : x
  2. Step 2: Convert to fraction form
    314,345.64/433,789.38 = 180,201/x
  3. Step 3: Cross multiply
    314,345.64x = 433,789.38 × 180,201
  4. Step 4: Simplify right side
    314,345.64x = 78,169,280,065.38
  5. Step 5: Solve for x
    x = 78,169,280,065.38/314,345.64
  6. Step 6: Final answer
    x = 248,673.02

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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.