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Finding the Fourth Proportional to 410,181.80, 614,981.10 and 157,364.60

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Solution

The fourth proportional to 410,181.80, 614,981.10 and 157,364.60 is: 235,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,181.80 : 614,981.10 = 157,364.60 : x
  2. Step 2: Convert to fraction form
    410,181.80/614,981.10 = 157,364.60/x
  3. Step 3: Cross multiply
    410,181.80x = 614,981.10 × 157,364.60
  4. Step 4: Simplify right side
    410,181.80x = 96,776,254,809.06
  5. Step 5: Solve for x
    x = 96,776,254,809.06/410,181.80
  6. Step 6: Final answer
    x = 235,935.03

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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.