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Finding the Fourth Proportional to 364,101.92, 502,638.95 and 282,249.35

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Solution

The fourth proportional to 364,101.92, 502,638.95 and 282,249.35 is: 389,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,101.92 : 502,638.95 = 282,249.35 : x
  2. Step 2: Convert to fraction form
    364,101.92/502,638.95 = 282,249.35/x
  3. Step 3: Cross multiply
    364,101.92x = 502,638.95 × 282,249.35
  4. Step 4: Simplify right side
    364,101.92x = 141,869,516,922.18
  5. Step 5: Solve for x
    x = 141,869,516,922.18/364,101.92
  6. Step 6: Final answer
    x = 389,642.32

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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.