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Finding the Fourth Proportional to 602,016.77, 830,820.46 and 333,744.77

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Solution

The fourth proportional to 602,016.77, 830,820.46 and 333,744.77 is: 460,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,016.77 : 830,820.46 = 333,744.77 : x
  2. Step 2: Convert to fraction form
    602,016.77/830,820.46 = 333,744.77/x
  3. Step 3: Cross multiply
    602,016.77x = 830,820.46 × 333,744.77
  4. Step 4: Simplify right side
    602,016.77x = 277,281,979,179.89
  5. Step 5: Solve for x
    x = 277,281,979,179.89/602,016.77
  6. Step 6: Final answer
    x = 460,588.47

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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.