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Finding the Fourth Proportional to 415,926.40, 624,043.20 and 400,566.40

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Solution

The fourth proportional to 415,926.40, 624,043.20 and 400,566.40 is: 600,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,926.40 : 624,043.20 = 400,566.40 : x
  2. Step 2: Convert to fraction form
    415,926.40/624,043.20 = 400,566.40/x
  3. Step 3: Cross multiply
    415,926.40x = 624,043.20 × 400,566.40
  4. Step 4: Simplify right side
    415,926.40x = 249,970,738,068.48
  5. Step 5: Solve for x
    x = 249,970,738,068.48/415,926.40
  6. Step 6: Final answer
    x = 600,997.53

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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.