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Finding the Fourth Proportional to 473,117.80, 709,676.70 and 305,156.20

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Solution

The fourth proportional to 473,117.80, 709,676.70 and 305,156.20 is: 457,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,117.80 : 709,676.70 = 305,156.20 : x
  2. Step 2: Convert to fraction form
    473,117.80/709,676.70 = 305,156.20/x
  3. Step 3: Cross multiply
    473,117.80x = 709,676.70 × 305,156.20
  4. Step 4: Simplify right side
    473,117.80x = 216,562,245,000.54
  5. Step 5: Solve for x
    x = 216,562,245,000.54/473,117.80
  6. Step 6: Final answer
    x = 457,734.30

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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.