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Finding the Fourth Proportional to 509,927.36, 764,861.88 and 194,416.16

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Solution

The fourth proportional to 509,927.36, 764,861.88 and 194,416.16 is: 291,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,927.36 : 764,861.88 = 194,416.16 : x
  2. Step 2: Convert to fraction form
    509,927.36/764,861.88 = 194,416.16/x
  3. Step 3: Cross multiply
    509,927.36x = 764,861.88 × 194,416.16
  4. Step 4: Simplify right side
    509,927.36x = 148,701,509,639.98
  5. Step 5: Solve for x
    x = 148,701,509,639.98/509,927.36
  6. Step 6: Final answer
    x = 291,613.12

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1.5x scale

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.