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Finding the Fourth Proportional to 277,204.80, 415,807.20 and 171,681.60

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Solution

The fourth proportional to 277,204.80, 415,807.20 and 171,681.60 is: 257,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,204.80 : 415,807.20 = 171,681.60 : x
  2. Step 2: Convert to fraction form
    277,204.80/415,807.20 = 171,681.60/x
  3. Step 3: Cross multiply
    277,204.80x = 415,807.20 × 171,681.60
  4. Step 4: Simplify right side
    277,204.80x = 71,386,445,387.52
  5. Step 5: Solve for x
    x = 71,386,445,387.52/277,204.80
  6. Step 6: Final answer
    x = 257,522.40

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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.