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Finding the Fourth Proportional to 473,045.12, 709,190.92 and 273,138.76

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Solution

The fourth proportional to 473,045.12, 709,190.92 and 273,138.76 is: 409,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,045.12 : 709,190.92 = 273,138.76 : x
  2. Step 2: Convert to fraction form
    473,045.12/709,190.92 = 273,138.76/x
  3. Step 3: Cross multiply
    473,045.12x = 709,190.92 × 273,138.76
  4. Step 4: Simplify right side
    473,045.12x = 193,707,528,492.06
  5. Step 5: Solve for x
    x = 193,707,528,492.06/473,045.12
  6. Step 6: Final answer
    x = 409,490.60

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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.