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Finding the Fourth Proportional to 415,883.20, 623,824.80 and 389,639.20

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Solution

The fourth proportional to 415,883.20, 623,824.80 and 389,639.20 is: 584,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,883.20 : 623,824.80 = 389,639.20 : x
  2. Step 2: Convert to fraction form
    415,883.20/623,824.80 = 389,639.20/x
  3. Step 3: Cross multiply
    415,883.20x = 623,824.80 × 389,639.20
  4. Step 4: Simplify right side
    415,883.20x = 243,066,596,012.16
  5. Step 5: Solve for x
    x = 243,066,596,012.16/415,883.20
  6. Step 6: Final answer
    x = 584,458.80

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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.