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Finding the Fourth Proportional to 706,713.88, 975,254.88 and 384,426.58

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Solution

The fourth proportional to 706,713.88, 975,254.88 and 384,426.58 is: 530,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,713.88 : 975,254.88 = 384,426.58 : x
  2. Step 2: Convert to fraction form
    706,713.88/975,254.88 = 384,426.58/x
  3. Step 3: Cross multiply
    706,713.88x = 975,254.88 × 384,426.58
  4. Step 4: Simplify right side
    706,713.88x = 374,913,898,146.71
  5. Step 5: Solve for x
    x = 374,913,898,146.71/706,713.88
  6. Step 6: Final answer
    x = 530,503.09

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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.