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Finding the Fourth Proportional to 602,924.20, 903,608.70 and 461,984.20

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Solution

The fourth proportional to 602,924.20, 903,608.70 and 461,984.20 is: 692,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,924.20 : 903,608.70 = 461,984.20 : x
  2. Step 2: Convert to fraction form
    602,924.20/903,608.70 = 461,984.20/x
  3. Step 3: Cross multiply
    602,924.20x = 903,608.70 × 461,984.20
  4. Step 4: Simplify right side
    602,924.20x = 417,452,942,382.54
  5. Step 5: Solve for x
    x = 417,452,942,382.54/602,924.20
  6. Step 6: Final answer
    x = 692,380.47

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Double scale
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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.