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Finding the Fourth Proportional to 461,411.80, 692,117.70 and 328,551.55

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Solution

The fourth proportional to 461,411.80, 692,117.70 and 328,551.55 is: 492,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,411.80 : 692,117.70 = 328,551.55 : x
  2. Step 2: Convert to fraction form
    461,411.80/692,117.70 = 328,551.55/x
  3. Step 3: Cross multiply
    461,411.80x = 692,117.70 × 328,551.55
  4. Step 4: Simplify right side
    461,411.80x = 227,396,343,117.44
  5. Step 5: Solve for x
    x = 227,396,343,117.44/461,411.80
  6. Step 6: Final answer
    x = 492,827.33

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Why These Related Problems?

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