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Finding the Fourth Proportional to 315,431.60, 473,328.84 and 175,178.48

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Solution

The fourth proportional to 315,431.60, 473,328.84 and 175,178.48 is: 262,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,431.60 : 473,328.84 = 175,178.48 : x
  2. Step 2: Convert to fraction form
    315,431.60/473,328.84 = 175,178.48/x
  3. Step 3: Cross multiply
    315,431.60x = 473,328.84 × 175,178.48
  4. Step 4: Simplify right side
    315,431.60x = 82,917,026,731.36
  5. Step 5: Solve for x
    x = 82,917,026,731.36/315,431.60
  6. Step 6: Final answer
    x = 262,868.48

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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.