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Finding the Fourth Proportional to 461,538.40, 692,307.60 and 261,781.60

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Solution

The fourth proportional to 461,538.40, 692,307.60 and 261,781.60 is: 392,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,538.40 : 692,307.60 = 261,781.60 : x
  2. Step 2: Convert to fraction form
    461,538.40/692,307.60 = 261,781.60/x
  3. Step 3: Cross multiply
    461,538.40x = 692,307.60 × 261,781.60
  4. Step 4: Simplify right side
    461,538.40x = 181,233,391,220.16
  5. Step 5: Solve for x
    x = 181,233,391,220.16/461,538.40
  6. Step 6: Final answer
    x = 392,672.40

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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.