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Finding the Fourth Proportional to 770,597.07, 1,063,465.28 and 431,045.07

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Solution

The fourth proportional to 770,597.07, 1,063,465.28 and 431,045.07 is: 594,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,597.07 : 1,063,465.28 = 431,045.07 : x
  2. Step 2: Convert to fraction form
    770,597.07/1,063,465.28 = 431,045.07/x
  3. Step 3: Cross multiply
    770,597.07x = 1,063,465.28 × 431,045.07
  4. Step 4: Simplify right side
    770,597.07x = 458,401,463,904.94
  5. Step 5: Solve for x
    x = 458,401,463,904.94/770,597.07
  6. Step 6: Final answer
    x = 594,865.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.