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Finding the Fourth Proportional to 407,756.23, 611,509.50 and 194,411.64

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Solution

The fourth proportional to 407,756.23, 611,509.50 and 194,411.64 is: 291,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,756.23 : 611,509.50 = 194,411.64 : x
  2. Step 2: Convert to fraction form
    407,756.23/611,509.50 = 194,411.64/x
  3. Step 3: Cross multiply
    407,756.23x = 611,509.50 × 194,411.64
  4. Step 4: Simplify right side
    407,756.23x = 118,884,567,063.74
  5. Step 5: Solve for x
    x = 118,884,567,063.74/407,756.23
  6. Step 6: Final answer
    x = 291,557.94

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