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Finding the Fourth Proportional to 282,417.42, 423,366.50 and 122,393

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Solution

The fourth proportional to 282,417.42, 423,366.50 and 122,393 is: 183,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,417.42 : 423,366.50 = 122,393 : x
  2. Step 2: Convert to fraction form
    282,417.42/423,366.50 = 122,393/x
  3. Step 3: Cross multiply
    282,417.42x = 423,366.50 × 122,393
  4. Step 4: Simplify right side
    282,417.42x = 51,817,096,034.50
  5. Step 5: Solve for x
    x = 51,817,096,034.50/282,417.42
  6. Step 6: Final answer
    x = 183,476.98

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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.