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Finding the Fourth Proportional to 407,402.50, 611,120.32 and 194,060.74

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Solution

The fourth proportional to 407,402.50, 611,120.32 and 194,060.74 is: 291,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,402.50 : 611,120.32 = 194,060.74 : x
  2. Step 2: Convert to fraction form
    407,402.50/611,120.32 = 194,060.74/x
  3. Step 3: Cross multiply
    407,402.50x = 611,120.32 × 194,060.74
  4. Step 4: Simplify right side
    407,402.50x = 118,594,461,528.24
  5. Step 5: Solve for x
    x = 118,594,461,528.24/407,402.50
  6. Step 6: Final answer
    x = 291,099.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.