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Finding the Fourth Proportional to 461,614.96, 692,636.76 and 177,210.88

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Solution

The fourth proportional to 461,614.96, 692,636.76 and 177,210.88 is: 265,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,614.96 : 692,636.76 = 177,210.88 : x
  2. Step 2: Convert to fraction form
    461,614.96/692,636.76 = 177,210.88/x
  3. Step 3: Cross multiply
    461,614.96x = 692,636.76 × 177,210.88
  4. Step 4: Simplify right side
    461,614.96x = 122,742,769,759.95
  5. Step 5: Solve for x
    x = 122,742,769,759.95/461,614.96
  6. Step 6: Final answer
    x = 265,898.60

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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.