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Finding the Fourth Proportional to 314,456.48, 433,605.12 and 273,807.44

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Solution

The fourth proportional to 314,456.48, 433,605.12 and 273,807.44 is: 377,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,456.48 : 433,605.12 = 273,807.44 : x
  2. Step 2: Convert to fraction form
    314,456.48/433,605.12 = 273,807.44/x
  3. Step 3: Cross multiply
    314,456.48x = 433,605.12 × 273,807.44
  4. Step 4: Simplify right side
    314,456.48x = 118,724,307,878.09
  5. Step 5: Solve for x
    x = 118,724,307,878.09/314,456.48
  6. Step 6: Final answer
    x = 377,554.02

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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.