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Finding the Fourth Proportional to 461,605.20, 692,710.55 and 162,078.06

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Solution

The fourth proportional to 461,605.20, 692,710.55 and 162,078.06 is: 243,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,605.20 : 692,710.55 = 162,078.06 : x
  2. Step 2: Convert to fraction form
    461,605.20/692,710.55 = 162,078.06/x
  3. Step 3: Cross multiply
    461,605.20x = 692,710.55 × 162,078.06
  4. Step 4: Simplify right side
    461,605.20x = 112,273,182,085.53
  5. Step 5: Solve for x
    x = 112,273,182,085.53/461,605.20
  6. Step 6: Final answer
    x = 243,223.39

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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.