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Finding the Fourth Proportional to 369,994.73, 510,538.01 and 216,975.20

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Solution

The fourth proportional to 369,994.73, 510,538.01 and 216,975.20 is: 299,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,994.73 : 510,538.01 = 216,975.20 : x
  2. Step 2: Convert to fraction form
    369,994.73/510,538.01 = 216,975.20/x
  3. Step 3: Cross multiply
    369,994.73x = 510,538.01 × 216,975.20
  4. Step 4: Simplify right side
    369,994.73x = 110,774,083,189.79
  5. Step 5: Solve for x
    x = 110,774,083,189.79/369,994.73
  6. Step 6: Final answer
    x = 299,393.68

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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.