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Finding the Fourth Proportional to 295,554.17, 407,707.12 and 180,888.38

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Solution

The fourth proportional to 295,554.17, 407,707.12 and 180,888.38 is: 249,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,554.17 : 407,707.12 = 180,888.38 : x
  2. Step 2: Convert to fraction form
    295,554.17/407,707.12 = 180,888.38/x
  3. Step 3: Cross multiply
    295,554.17x = 407,707.12 × 180,888.38
  4. Step 4: Simplify right side
    295,554.17x = 73,749,480,451.27
  5. Step 5: Solve for x
    x = 73,749,480,451.27/295,554.17
  6. Step 6: Final answer
    x = 249,529.49

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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.