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Finding the Fourth Proportional to 822,656.70, 1,232,602.65 and 401,024.70

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Solution

The fourth proportional to 822,656.70, 1,232,602.65 and 401,024.70 is: 600,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,656.70 : 1,232,602.65 = 401,024.70 : x
  2. Step 2: Convert to fraction form
    822,656.70/1,232,602.65 = 401,024.70/x
  3. Step 3: Cross multiply
    822,656.70x = 1,232,602.65 × 401,024.70
  4. Step 4: Simplify right side
    822,656.70x = 494,304,107,935.46
  5. Step 5: Solve for x
    x = 494,304,107,935.46/822,656.70
  6. Step 6: Final answer
    x = 600,863.16

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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.