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Finding the Fourth Proportional to 538,854.19, 807,842.94 and 201,706

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Solution

The fourth proportional to 538,854.19, 807,842.94 and 201,706 is: 302,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,854.19 : 807,842.94 = 201,706 : x
  2. Step 2: Convert to fraction form
    538,854.19/807,842.94 = 201,706/x
  3. Step 3: Cross multiply
    538,854.19x = 807,842.94 × 201,706
  4. Step 4: Simplify right side
    538,854.19x = 162,946,768,055.64
  5. Step 5: Solve for x
    x = 162,946,768,055.64/538,854.19
  6. Step 6: Final answer
    x = 302,394.92

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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.