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Finding the Fourth Proportional to 290,602.70, 401,064.16 and 175,944.50

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Solution

The fourth proportional to 290,602.70, 401,064.16 and 175,944.50 is: 242,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,602.70 : 401,064.16 = 175,944.50 : x
  2. Step 2: Convert to fraction form
    290,602.70/401,064.16 = 175,944.50/x
  3. Step 3: Cross multiply
    290,602.70x = 401,064.16 × 175,944.50
  4. Step 4: Simplify right side
    290,602.70x = 70,565,031,093.80
  5. Step 5: Solve for x
    x = 70,565,031,093.80/290,602.70
  6. Step 6: Final answer
    x = 242,823.04

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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.