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Finding the Fourth Proportional to 415,529.68, 622,802.28 and 190,700.64

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Solution

The fourth proportional to 415,529.68, 622,802.28 and 190,700.64 is: 285,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,529.68 : 622,802.28 = 190,700.64 : x
  2. Step 2: Convert to fraction form
    415,529.68/622,802.28 = 190,700.64/x
  3. Step 3: Cross multiply
    415,529.68x = 622,802.28 × 190,700.64
  4. Step 4: Simplify right side
    415,529.68x = 118,768,793,389.46
  5. Step 5: Solve for x
    x = 118,768,793,389.46/415,529.68
  6. Step 6: Final answer
    x = 285,825.05

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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.