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Finding the Fourth Proportional to 424,905.40, 586,373.34 and 233,923

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Solution

The fourth proportional to 424,905.40, 586,373.34 and 233,923 is: 322,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,905.40 : 586,373.34 = 233,923 : x
  2. Step 2: Convert to fraction form
    424,905.40/586,373.34 = 233,923/x
  3. Step 3: Cross multiply
    424,905.40x = 586,373.34 × 233,923
  4. Step 4: Simplify right side
    424,905.40x = 137,166,210,812.82
  5. Step 5: Solve for x
    x = 137,166,210,812.82/424,905.40
  6. Step 6: Final answer
    x = 322,815.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.