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Finding the Fourth Proportional to 461,705.20, 692,557.80 and 411,938.80

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Solution

The fourth proportional to 461,705.20, 692,557.80 and 411,938.80 is: 617,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,705.20 : 692,557.80 = 411,938.80 : x
  2. Step 2: Convert to fraction form
    461,705.20/692,557.80 = 411,938.80/x
  3. Step 3: Cross multiply
    461,705.20x = 692,557.80 × 411,938.80
  4. Step 4: Simplify right side
    461,705.20x = 285,291,429,062.64
  5. Step 5: Solve for x
    x = 285,291,429,062.64/461,705.20
  6. Step 6: Final answer
    x = 617,908.20

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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.