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Finding the Fourth Proportional to 506,516.94, 759,525.75 and 177,853.88

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Solution

The fourth proportional to 506,516.94, 759,525.75 and 177,853.88 is: 266,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,516.94 : 759,525.75 = 177,853.88 : x
  2. Step 2: Convert to fraction form
    506,516.94/759,525.75 = 177,853.88/x
  3. Step 3: Cross multiply
    506,516.94x = 759,525.75 × 177,853.88
  4. Step 4: Simplify right side
    506,516.94x = 135,084,601,597.41
  5. Step 5: Solve for x
    x = 135,084,601,597.41/506,516.94
  6. Step 6: Final answer
    x = 266,693.16

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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.