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Finding the Fourth Proportional to 415,327.90, 623,011.64 and 201,841.47

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Solution

The fourth proportional to 415,327.90, 623,011.64 and 201,841.47 is: 302,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,327.90 : 623,011.64 = 201,841.47 : x
  2. Step 2: Convert to fraction form
    415,327.90/623,011.64 = 201,841.47/x
  3. Step 3: Cross multiply
    415,327.90x = 623,011.64 × 201,841.47
  4. Step 4: Simplify right side
    415,327.90x = 125,749,585,244.71
  5. Step 5: Solve for x
    x = 125,749,585,244.71/415,327.90
  6. Step 6: Final answer
    x = 302,771.82

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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.