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Finding the Fourth Proportional to 461,675.30, 692,425.46 and 162,085.46

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Solution

The fourth proportional to 461,675.30, 692,425.46 and 162,085.46 is: 243,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,675.30 : 692,425.46 = 162,085.46 : x
  2. Step 2: Convert to fraction form
    461,675.30/692,425.46 = 162,085.46/x
  3. Step 3: Cross multiply
    461,675.30x = 692,425.46 × 162,085.46
  4. Step 4: Simplify right side
    461,675.30x = 112,232,099,199.81
  5. Step 5: Solve for x
    x = 112,232,099,199.81/461,675.30
  6. Step 6: Final answer
    x = 243,097.47

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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.