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Finding the Fourth Proportional to 316,410.16, 436,559.55 and 180,394.51

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Solution

The fourth proportional to 316,410.16, 436,559.55 and 180,394.51 is: 248,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,410.16 : 436,559.55 = 180,394.51 : x
  2. Step 2: Convert to fraction form
    316,410.16/436,559.55 = 180,394.51/x
  3. Step 3: Cross multiply
    316,410.16x = 436,559.55 × 180,394.51
  4. Step 4: Simplify right side
    316,410.16x = 78,752,946,108.07
  5. Step 5: Solve for x
    x = 78,752,946,108.07/316,410.16
  6. Step 6: Final answer
    x = 248,895.12

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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.