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Finding the Fourth Proportional to 601,913.70, 830,746.43 and 457,198.50

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Solution

The fourth proportional to 601,913.70, 830,746.43 and 457,198.50 is: 631,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,913.70 : 830,746.43 = 457,198.50 : x
  2. Step 2: Convert to fraction form
    601,913.70/830,746.43 = 457,198.50/x
  3. Step 3: Cross multiply
    601,913.70x = 830,746.43 × 457,198.50
  4. Step 4: Simplify right side
    601,913.70x = 379,816,019,390.36
  5. Step 5: Solve for x
    x = 379,816,019,390.36/601,913.70
  6. Step 6: Final answer
    x = 631,014.08

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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.