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Finding the Fourth Proportional to 415,881.60, 624,038.40 and 194,265.60

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Solution

The fourth proportional to 415,881.60, 624,038.40 and 194,265.60 is: 291,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,881.60 : 624,038.40 = 194,265.60 : x
  2. Step 2: Convert to fraction form
    415,881.60/624,038.40 = 194,265.60/x
  3. Step 3: Cross multiply
    415,881.60x = 624,038.40 × 194,265.60
  4. Step 4: Simplify right side
    415,881.60x = 121,229,194,199.04
  5. Step 5: Solve for x
    x = 121,229,194,199.04/415,881.60
  6. Step 6: Final answer
    x = 291,499.30

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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.