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Finding the Fourth Proportional to 282,416.41, 423,365.01 and 122,392

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Solution

The fourth proportional to 282,416.41, 423,365.01 and 122,392 is: 183,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,416.41 : 423,365.01 = 122,392 : x
  2. Step 2: Convert to fraction form
    282,416.41/423,365.01 = 122,392/x
  3. Step 3: Cross multiply
    282,416.41x = 423,365.01 × 122,392
  4. Step 4: Simplify right side
    282,416.41x = 51,816,490,303.92
  5. Step 5: Solve for x
    x = 51,816,490,303.92/282,416.41
  6. Step 6: Final answer
    x = 183,475.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.