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Finding the Fourth Proportional to 520,402.93, 780,072.69 and 295,287.82

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Solution

The fourth proportional to 520,402.93, 780,072.69 and 295,287.82 is: 442,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,402.93 : 780,072.69 = 295,287.82 : x
  2. Step 2: Convert to fraction form
    520,402.93/780,072.69 = 295,287.82/x
  3. Step 3: Cross multiply
    520,402.93x = 780,072.69 × 295,287.82
  4. Step 4: Simplify right side
    520,402.93x = 230,345,964,071.64
  5. Step 5: Solve for x
    x = 230,345,964,071.64/520,402.93
  6. Step 6: Final answer
    x = 442,630.03

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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.