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Finding the Fourth Proportional to 664,349.41, 916,802.27 and 409,848.49

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Solution

The fourth proportional to 664,349.41, 916,802.27 and 409,848.49 is: 565,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,349.41 : 916,802.27 = 409,848.49 : x
  2. Step 2: Convert to fraction form
    664,349.41/916,802.27 = 409,848.49/x
  3. Step 3: Cross multiply
    664,349.41x = 916,802.27 × 409,848.49
  4. Step 4: Simplify right side
    664,349.41x = 375,750,025,988.07
  5. Step 5: Solve for x
    x = 375,750,025,988.07/664,349.41
  6. Step 6: Final answer
    x = 565,590.97

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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.