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Finding the Fourth Proportional to 310,060.32, 427,908.06 and 174,103.31

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Solution

The fourth proportional to 310,060.32, 427,908.06 and 174,103.31 is: 240,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,060.32 : 427,908.06 = 174,103.31 : x
  2. Step 2: Convert to fraction form
    310,060.32/427,908.06 = 174,103.31/x
  3. Step 3: Cross multiply
    310,060.32x = 427,908.06 × 174,103.31
  4. Step 4: Simplify right side
    310,060.32x = 74,500,207,482.14
  5. Step 5: Solve for x
    x = 74,500,207,482.14/310,060.32
  6. Step 6: Final answer
    x = 240,276.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.