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Finding the Fourth Proportional to 830,818.64, 1,146,537.06 and 468,173

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Solution

The fourth proportional to 830,818.64, 1,146,537.06 and 468,173 is: 646,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,818.64 : 1,146,537.06 = 468,173 : x
  2. Step 2: Convert to fraction form
    830,818.64/1,146,537.06 = 468,173/x
  3. Step 3: Cross multiply
    830,818.64x = 1,146,537.06 × 468,173
  4. Step 4: Simplify right side
    830,818.64x = 536,777,694,991.38
  5. Step 5: Solve for x
    x = 536,777,694,991.38/830,818.64
  6. Step 6: Final answer
    x = 646,082.87

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Why These Related Problems?

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