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Finding the Fourth Proportional to 496,311.34, 684,724.06 and 292,237.51

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Solution

The fourth proportional to 496,311.34, 684,724.06 and 292,237.51 is: 403,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,311.34 : 684,724.06 = 292,237.51 : x
  2. Step 2: Convert to fraction form
    496,311.34/684,724.06 = 292,237.51/x
  3. Step 3: Cross multiply
    496,311.34x = 684,724.06 × 292,237.51
  4. Step 4: Simplify right side
    496,311.34x = 200,102,054,331.49
  5. Step 5: Solve for x
    x = 200,102,054,331.49/496,311.34
  6. Step 6: Final answer
    x = 403,178.49

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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.