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Finding the Fourth Proportional to 367,009.52, 507,472.16 and 319,770.32

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Solution

The fourth proportional to 367,009.52, 507,472.16 and 319,770.32 is: 442,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,009.52 : 507,472.16 = 319,770.32 : x
  2. Step 2: Convert to fraction form
    367,009.52/507,472.16 = 319,770.32/x
  3. Step 3: Cross multiply
    367,009.52x = 507,472.16 × 319,770.32
  4. Step 4: Simplify right side
    367,009.52x = 162,274,530,858.08
  5. Step 5: Solve for x
    x = 162,274,530,858.08/367,009.52
  6. Step 6: Final answer
    x = 442,153.47

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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.