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Finding the Fourth Proportional to 410,523.99, 615,534.44 and 144,315.06

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Solution

The fourth proportional to 410,523.99, 615,534.44 and 144,315.06 is: 216,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,523.99 : 615,534.44 = 144,315.06 : x
  2. Step 2: Convert to fraction form
    410,523.99/615,534.44 = 144,315.06/x
  3. Step 3: Cross multiply
    410,523.99x = 615,534.44 × 144,315.06
  4. Step 4: Simplify right side
    410,523.99x = 88,830,888,919.09
  5. Step 5: Solve for x
    x = 88,830,888,919.09/410,523.99
  6. Step 6: Final answer
    x = 216,384.16

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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.