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Finding the Fourth Proportional to 359,265.76, 538,898.59 and 201,506.52

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Solution

The fourth proportional to 359,265.76, 538,898.59 and 201,506.52 is: 302,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,265.76 : 538,898.59 = 201,506.52 : x
  2. Step 2: Convert to fraction form
    359,265.76/538,898.59 = 201,506.52/x
  3. Step 3: Cross multiply
    359,265.76x = 538,898.59 × 201,506.52
  4. Step 4: Simplify right side
    359,265.76x = 108,591,579,503.81
  5. Step 5: Solve for x
    x = 108,591,579,503.81/359,265.76
  6. Step 6: Final answer
    x = 302,259.75

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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.