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Finding the Fourth Proportional to 601,912.01, 830,744.10 and 457,196.81

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Solution

The fourth proportional to 601,912.01, 830,744.10 and 457,196.81 is: 631,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,912.01 : 830,744.10 = 457,196.81 : x
  2. Step 2: Convert to fraction form
    601,912.01/830,744.10 = 457,196.81/x
  3. Step 3: Cross multiply
    601,912.01x = 830,744.10 × 457,196.81
  4. Step 4: Simplify right side
    601,912.01x = 379,813,548,292.60
  5. Step 5: Solve for x
    x = 379,813,548,292.60/601,912.01
  6. Step 6: Final answer
    x = 631,011.74

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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.