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Finding the Fourth Proportional to 295,447.01, 407,711.33 and 180,717.23

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Solution

The fourth proportional to 295,447.01, 407,711.33 and 180,717.23 is: 249,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,447.01 : 407,711.33 = 180,717.23 : x
  2. Step 2: Convert to fraction form
    295,447.01/407,711.33 = 180,717.23/x
  3. Step 3: Cross multiply
    295,447.01x = 407,711.33 × 180,717.23
  4. Step 4: Simplify right side
    295,447.01x = 73,680,462,197.22
  5. Step 5: Solve for x
    x = 73,680,462,197.22/295,447.01
  6. Step 6: Final answer
    x = 249,386.39

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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.