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Finding the Fourth Proportional to 312,953.63, 469,509.11 and 144,593.10

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Solution

The fourth proportional to 312,953.63, 469,509.11 and 144,593.10 is: 216,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,953.63 : 469,509.11 = 144,593.10 : x
  2. Step 2: Convert to fraction form
    312,953.63/469,509.11 = 144,593.10/x
  3. Step 3: Cross multiply
    312,953.63x = 469,509.11 × 144,593.10
  4. Step 4: Simplify right side
    312,953.63x = 67,887,777,512.40
  5. Step 5: Solve for x
    x = 67,887,777,512.40/312,953.63
  6. Step 6: Final answer
    x = 216,926.00

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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.