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Finding the Fourth Proportional to 285,209.49, 393,855.80 and 183,411.73

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Solution

The fourth proportional to 285,209.49, 393,855.80 and 183,411.73 is: 253,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,209.49 : 393,855.80 = 183,411.73 : x
  2. Step 2: Convert to fraction form
    285,209.49/393,855.80 = 183,411.73/x
  3. Step 3: Cross multiply
    285,209.49x = 393,855.80 × 183,411.73
  4. Step 4: Simplify right side
    285,209.49x = 72,237,774,475.39
  5. Step 5: Solve for x
    x = 72,237,774,475.39/285,209.49
  6. Step 6: Final answer
    x = 253,279.70

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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.