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Finding the Fourth Proportional to 706,758.84, 975,729.42 and 465,741.72

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Solution

The fourth proportional to 706,758.84, 975,729.42 and 465,741.72 is: 642,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,758.84 : 975,729.42 = 465,741.72 : x
  2. Step 2: Convert to fraction form
    706,758.84/975,729.42 = 465,741.72/x
  3. Step 3: Cross multiply
    706,758.84x = 975,729.42 × 465,741.72
  4. Step 4: Simplify right side
    706,758.84x = 454,437,898,325.40
  5. Step 5: Solve for x
    x = 454,437,898,325.40/706,758.84
  6. Step 6: Final answer
    x = 642,988.63

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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.