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Finding the Fourth Proportional to 310,930.12, 463,970.23 and 277,419.88

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Solution

The fourth proportional to 310,930.12, 463,970.23 and 277,419.88 is: 413,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930.12 : 463,970.23 = 277,419.88 : x
  2. Step 2: Convert to fraction form
    310,930.12/463,970.23 = 277,419.88/x
  3. Step 3: Cross multiply
    310,930.12x = 463,970.23 × 277,419.88
  4. Step 4: Simplify right side
    310,930.12x = 128,714,565,530.17
  5. Step 5: Solve for x
    x = 128,714,565,530.17/310,930.12
  6. Step 6: Final answer
    x = 413,966.22

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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.