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Finding the Fourth Proportional to 460,830.40, 691,245.60 and 355,854.40

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Solution

The fourth proportional to 460,830.40, 691,245.60 and 355,854.40 is: 533,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,830.40 : 691,245.60 = 355,854.40 : x
  2. Step 2: Convert to fraction form
    460,830.40/691,245.60 = 355,854.40/x
  3. Step 3: Cross multiply
    460,830.40x = 691,245.60 × 355,854.40
  4. Step 4: Simplify right side
    460,830.40x = 245,982,788,240.64
  5. Step 5: Solve for x
    x = 245,982,788,240.64/460,830.40
  6. Step 6: Final answer
    x = 533,781.60

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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.