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Finding the Fourth Proportional to 314,488.16, 433,879.70 and 178,443.32

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Solution

The fourth proportional to 314,488.16, 433,879.70 and 178,443.32 is: 246,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,488.16 : 433,879.70 = 178,443.32 : x
  2. Step 2: Convert to fraction form
    314,488.16/433,879.70 = 178,443.32/x
  3. Step 3: Cross multiply
    314,488.16x = 433,879.70 × 178,443.32
  4. Step 4: Simplify right side
    314,488.16x = 77,422,934,148.60
  5. Step 5: Solve for x
    x = 77,422,934,148.60/314,488.16
  6. Step 6: Final answer
    x = 246,187.12

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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.