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Finding the Fourth Proportional to 364,102.92, 502,640.33 and 282,250.35

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Solution

The fourth proportional to 364,102.92, 502,640.33 and 282,250.35 is: 389,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,102.92 : 502,640.33 = 282,250.35 : x
  2. Step 2: Convert to fraction form
    364,102.92/502,640.33 = 282,250.35/x
  3. Step 3: Cross multiply
    364,102.92x = 502,640.33 × 282,250.35
  4. Step 4: Simplify right side
    364,102.92x = 141,870,409,066.62
  5. Step 5: Solve for x
    x = 141,870,409,066.62/364,102.92
  6. Step 6: Final answer
    x = 389,643.70

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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.