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Finding the Fourth Proportional to 506,794.90, 759,667.46 and 417,106.02

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Solution

The fourth proportional to 506,794.90, 759,667.46 and 417,106.02 is: 625,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,794.90 : 759,667.46 = 417,106.02 : x
  2. Step 2: Convert to fraction form
    506,794.90/759,667.46 = 417,106.02/x
  3. Step 3: Cross multiply
    506,794.90x = 759,667.46 × 417,106.02
  4. Step 4: Simplify right side
    506,794.90x = 316,861,870,764.11
  5. Step 5: Solve for x
    x = 316,861,870,764.11/506,794.90
  6. Step 6: Final answer
    x = 625,227.03

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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.