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Finding the Fourth Proportional to 424,602.12, 586,212.72 and 292,223

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Solution

The fourth proportional to 424,602.12, 586,212.72 and 292,223 is: 403,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,602.12 : 586,212.72 = 292,223 : x
  2. Step 2: Convert to fraction form
    424,602.12/586,212.72 = 292,223/x
  3. Step 3: Cross multiply
    424,602.12x = 586,212.72 × 292,223
  4. Step 4: Simplify right side
    424,602.12x = 171,304,839,676.56
  5. Step 5: Solve for x
    x = 171,304,839,676.56/424,602.12
  6. Step 6: Final answer
    x = 403,447.91

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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.