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Finding the Fourth Proportional to 647,541.70, 971,312.55 and 458,584.90

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Solution

The fourth proportional to 647,541.70, 971,312.55 and 458,584.90 is: 687,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,541.70 : 971,312.55 = 458,584.90 : x
  2. Step 2: Convert to fraction form
    647,541.70/971,312.55 = 458,584.90/x
  3. Step 3: Cross multiply
    647,541.70x = 971,312.55 × 458,584.90
  4. Step 4: Simplify right side
    647,541.70x = 445,429,268,610.50
  5. Step 5: Solve for x
    x = 445,429,268,610.50/647,541.70
  6. Step 6: Final answer
    x = 687,877.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.