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Finding the Fourth Proportional to 415,849.34, 573,829.04 and 307,011.60

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Solution

The fourth proportional to 415,849.34, 573,829.04 and 307,011.60 is: 423,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,849.34 : 573,829.04 = 307,011.60 : x
  2. Step 2: Convert to fraction form
    415,849.34/573,829.04 = 307,011.60/x
  3. Step 3: Cross multiply
    415,849.34x = 573,829.04 × 307,011.60
  4. Step 4: Simplify right side
    415,849.34x = 176,172,172,464.39
  5. Step 5: Solve for x
    x = 176,172,172,464.39/415,849.34
  6. Step 6: Final answer
    x = 423,644.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.