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Finding the Fourth Proportional to 474,798.30, 710,815.05 and 460,974.30

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Solution

The fourth proportional to 474,798.30, 710,815.05 and 460,974.30 is: 690,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,798.30 : 710,815.05 = 460,974.30 : x
  2. Step 2: Convert to fraction form
    474,798.30/710,815.05 = 460,974.30/x
  3. Step 3: Cross multiply
    474,798.30x = 710,815.05 × 460,974.30
  4. Step 4: Simplify right side
    474,798.30x = 327,667,470,103.22
  5. Step 5: Solve for x
    x = 327,667,470,103.22/474,798.30
  6. Step 6: Final answer
    x = 690,119.30

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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.