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Finding the Fourth Proportional to 427,706.84, 590,135.14 and 292,023.34

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Solution

The fourth proportional to 427,706.84, 590,135.14 and 292,023.34 is: 402,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,706.84 : 590,135.14 = 292,023.34 : x
  2. Step 2: Convert to fraction form
    427,706.84/590,135.14 = 292,023.34/x
  3. Step 3: Cross multiply
    427,706.84x = 590,135.14 × 292,023.34
  4. Step 4: Simplify right side
    427,706.84x = 172,333,234,634.17
  5. Step 5: Solve for x
    x = 172,333,234,634.17/427,706.84
  6. Step 6: Final answer
    x = 402,923.73

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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.