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Finding the Fourth Proportional to 415,922.40, 623,883.60 and 409,701.60

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Solution

The fourth proportional to 415,922.40, 623,883.60 and 409,701.60 is: 614,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,922.40 : 623,883.60 = 409,701.60 : x
  2. Step 2: Convert to fraction form
    415,922.40/623,883.60 = 409,701.60/x
  3. Step 3: Cross multiply
    415,922.40x = 623,883.60 × 409,701.60
  4. Step 4: Simplify right side
    415,922.40x = 255,606,109,133.76
  5. Step 5: Solve for x
    x = 255,606,109,133.76/415,922.40
  6. Step 6: Final answer
    x = 614,552.40

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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.