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Finding the Fourth Proportional to 333,706.78, 460,512.56 and 180,741.42

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Solution

The fourth proportional to 333,706.78, 460,512.56 and 180,741.42 is: 249,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,706.78 : 460,512.56 = 180,741.42 : x
  2. Step 2: Convert to fraction form
    333,706.78/460,512.56 = 180,741.42/x
  3. Step 3: Cross multiply
    333,706.78x = 460,512.56 × 180,741.42
  4. Step 4: Simplify right side
    333,706.78x = 83,233,692,747.17
  5. Step 5: Solve for x
    x = 83,233,692,747.17/333,706.78
  6. Step 6: Final answer
    x = 249,421.64

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1.5x scale

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.