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Finding the Fourth Proportional to 310,910.92, 463,941.48 and 277,400.60

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Solution

The fourth proportional to 310,910.92, 463,941.48 and 277,400.60 is: 413,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,910.92 : 463,941.48 = 277,400.60 : x
  2. Step 2: Convert to fraction form
    310,910.92/463,941.48 = 277,400.60/x
  3. Step 3: Cross multiply
    310,910.92x = 463,941.48 × 277,400.60
  4. Step 4: Simplify right side
    310,910.92x = 128,697,644,916.89
  5. Step 5: Solve for x
    x = 128,697,644,916.89/310,910.92
  6. Step 6: Final answer
    x = 413,937.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.