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Finding the Fourth Proportional to 281,782, 388,898.94 and 174,386.62

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Solution

The fourth proportional to 281,782, 388,898.94 and 174,386.62 is: 240,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,782 : 388,898.94 = 174,386.62 : x
  2. Step 2: Convert to fraction form
    281,782/388,898.94 = 174,386.62/x
  3. Step 3: Cross multiply
    281,782x = 388,898.94 × 174,386.62
  4. Step 4: Simplify right side
    281,782x = 67,818,771,668.18
  5. Step 5: Solve for x
    x = 67,818,771,668.18/281,782
  6. Step 6: Final answer
    x = 240,678.15

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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.