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Finding the Fourth Proportional to 282,497.82, 423,746.72 and 177,390.60

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Solution

The fourth proportional to 282,497.82, 423,746.72 and 177,390.60 is: 266,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,497.82 : 423,746.72 = 177,390.60 : x
  2. Step 2: Convert to fraction form
    282,497.82/423,746.72 = 177,390.60/x
  3. Step 3: Cross multiply
    282,497.82x = 423,746.72 × 177,390.60
  4. Step 4: Simplify right side
    282,497.82x = 75,168,684,908.83
  5. Step 5: Solve for x
    x = 75,168,684,908.83/282,497.82
  6. Step 6: Final answer
    x = 266,085.89

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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.