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Finding the Fourth Proportional to 706,825.74, 975,397.32 and 384,527.64

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Solution

The fourth proportional to 706,825.74, 975,397.32 and 384,527.64 is: 530,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,825.74 : 975,397.32 = 384,527.64 : x
  2. Step 2: Convert to fraction form
    706,825.74/975,397.32 = 384,527.64/x
  3. Step 3: Cross multiply
    706,825.74x = 975,397.32 × 384,527.64
  4. Step 4: Simplify right side
    706,825.74x = 375,067,229,521.93
  5. Step 5: Solve for x
    x = 375,067,229,521.93/706,825.74
  6. Step 6: Final answer
    x = 530,636.07

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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.