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Finding the Fourth Proportional to 345,605.93, 476,946.29 and 202,352.57

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Solution

The fourth proportional to 345,605.93, 476,946.29 and 202,352.57 is: 279,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,605.93 : 476,946.29 = 202,352.57 : x
  2. Step 2: Convert to fraction form
    345,605.93/476,946.29 = 202,352.57/x
  3. Step 3: Cross multiply
    345,605.93x = 476,946.29 × 202,352.57
  4. Step 4: Simplify right side
    345,605.93x = 96,511,307,533.47
  5. Step 5: Solve for x
    x = 96,511,307,533.47/345,605.93
  6. Step 6: Final answer
    x = 279,252.46

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1.5x scale

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.