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Finding the Fourth Proportional to 364,088.50, 502,657.66 and 323,690.68

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Solution

The fourth proportional to 364,088.50, 502,657.66 and 323,690.68 is: 446,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,088.50 : 502,657.66 = 323,690.68 : x
  2. Step 2: Convert to fraction form
    364,088.50/502,657.66 = 323,690.68/x
  3. Step 3: Cross multiply
    364,088.50x = 502,657.66 × 323,690.68
  4. Step 4: Simplify right side
    364,088.50x = 162,705,599,772.61
  5. Step 5: Solve for x
    x = 162,705,599,772.61/364,088.50
  6. Step 6: Final answer
    x = 446,884.75

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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.