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Finding the Fourth Proportional to 531,878.40, 733,082.40 and 416,404.80

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Solution

The fourth proportional to 531,878.40, 733,082.40 and 416,404.80 is: 573,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,878.40 : 733,082.40 = 416,404.80 : x
  2. Step 2: Convert to fraction form
    531,878.40/733,082.40 = 416,404.80/x
  3. Step 3: Cross multiply
    531,878.40x = 733,082.40 × 416,404.80
  4. Step 4: Simplify right side
    531,878.40x = 305,259,030,155.52
  5. Step 5: Solve for x
    x = 305,259,030,155.52/531,878.40
  6. Step 6: Final answer
    x = 573,926.35

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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.