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Finding the Fourth Proportional to 707,046.84, 975,745 and 384,777.36

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Solution

The fourth proportional to 707,046.84, 975,745 and 384,777.36 is: 531,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,046.84 : 975,745 = 384,777.36 : x
  2. Step 2: Convert to fraction form
    707,046.84/975,745 = 384,777.36/x
  3. Step 3: Cross multiply
    707,046.84x = 975,745 × 384,777.36
  4. Step 4: Simplify right side
    707,046.84x = 375,444,585,133.20
  5. Step 5: Solve for x
    x = 375,444,585,133.20/707,046.84
  6. Step 6: Final answer
    x = 531,003.84

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Why These Related Problems?

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