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Finding the Fourth Proportional to 364,088.72, 502,459.70 and 202,944.92

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Solution

The fourth proportional to 364,088.72, 502,459.70 and 202,944.92 is: 280,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,088.72 : 502,459.70 = 202,944.92 : x
  2. Step 2: Convert to fraction form
    364,088.72/502,459.70 = 202,944.92/x
  3. Step 3: Cross multiply
    364,088.72x = 502,459.70 × 202,944.92
  4. Step 4: Simplify right side
    364,088.72x = 101,971,643,619.72
  5. Step 5: Solve for x
    x = 101,971,643,619.72/364,088.72
  6. Step 6: Final answer
    x = 280,073.61

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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.