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Finding the Fourth Proportional to 538,432.35, 807,962.48 and 201,709.53

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Solution

The fourth proportional to 538,432.35, 807,962.48 and 201,709.53 is: 302,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,432.35 : 807,962.48 = 201,709.53 : x
  2. Step 2: Convert to fraction form
    538,432.35/807,962.48 = 201,709.53/x
  3. Step 3: Cross multiply
    538,432.35x = 807,962.48 × 201,709.53
  4. Step 4: Simplify right side
    538,432.35x = 162,973,732,098.43
  5. Step 5: Solve for x
    x = 162,973,732,098.43/538,432.35
  6. Step 6: Final answer
    x = 302,681.91

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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.