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Finding the Fourth Proportional to 491,027.60, 735,763.80 and 411,712.40

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Solution

The fourth proportional to 491,027.60, 735,763.80 and 411,712.40 is: 616,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,027.60 : 735,763.80 = 411,712.40 : x
  2. Step 2: Convert to fraction form
    491,027.60/735,763.80 = 411,712.40/x
  3. Step 3: Cross multiply
    491,027.60x = 735,763.80 × 411,712.40
  4. Step 4: Simplify right side
    491,027.60x = 302,923,079,931.12
  5. Step 5: Solve for x
    x = 302,923,079,931.12/491,027.60
  6. Step 6: Final answer
    x = 616,916.60

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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.