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Finding the Fourth Proportional to 295,552.60, 407,704.97 and 180,886.82

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Solution

The fourth proportional to 295,552.60, 407,704.97 and 180,886.82 is: 249,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,552.60 : 407,704.97 = 180,886.82 : x
  2. Step 2: Convert to fraction form
    295,552.60/407,704.97 = 180,886.82/x
  3. Step 3: Cross multiply
    295,552.60x = 407,704.97 × 180,886.82
  4. Step 4: Simplify right side
    295,552.60x = 73,748,453,935.19
  5. Step 5: Solve for x
    x = 73,748,453,935.19/295,552.60
  6. Step 6: Final answer
    x = 249,527.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.