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Finding the Fourth Proportional to 323,888.19, 446,966.33 and 180,657.51

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Solution

The fourth proportional to 323,888.19, 446,966.33 and 180,657.51 is: 249,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,888.19 : 446,966.33 = 180,657.51 : x
  2. Step 2: Convert to fraction form
    323,888.19/446,966.33 = 180,657.51/x
  3. Step 3: Cross multiply
    323,888.19x = 446,966.33 × 180,657.51
  4. Step 4: Simplify right side
    323,888.19x = 80,747,823,328.35
  5. Step 5: Solve for x
    x = 80,747,823,328.35/323,888.19
  6. Step 6: Final answer
    x = 249,307.71

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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.