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Finding the Fourth Proportional to 370,712, 511,579.68 and 200,941.76

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Solution

The fourth proportional to 370,712, 511,579.68 and 200,941.76 is: 277,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,712 : 511,579.68 = 200,941.76 : x
  2. Step 2: Convert to fraction form
    370,712/511,579.68 = 200,941.76/x
  3. Step 3: Cross multiply
    370,712x = 511,579.68 × 200,941.76
  4. Step 4: Simplify right side
    370,712x = 102,797,721,279.44
  5. Step 5: Solve for x
    x = 102,797,721,279.44/370,712
  6. Step 6: Final answer
    x = 277,298.07

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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.