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Finding the Fourth Proportional to 427,705.84, 590,133.76 and 292,022.34

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Solution

The fourth proportional to 427,705.84, 590,133.76 and 292,022.34 is: 402,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,705.84 : 590,133.76 = 292,022.34 : x
  2. Step 2: Convert to fraction form
    427,705.84/590,133.76 = 292,022.34/x
  3. Step 3: Cross multiply
    427,705.84x = 590,133.76 × 292,022.34
  4. Step 4: Simplify right side
    427,705.84x = 172,332,241,508.20
  5. Step 5: Solve for x
    x = 172,332,241,508.20/427,705.84
  6. Step 6: Final answer
    x = 402,922.35

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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.