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Finding the Fourth Proportional to 473,046.20, 709,763.70 and 173,670.20

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Solution

The fourth proportional to 473,046.20, 709,763.70 and 173,670.20 is: 260,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,046.20 : 709,763.70 = 173,670.20 : x
  2. Step 2: Convert to fraction form
    473,046.20/709,763.70 = 173,670.20/x
  3. Step 3: Cross multiply
    473,046.20x = 709,763.70 × 173,670.20
  4. Step 4: Simplify right side
    473,046.20x = 123,264,803,731.74
  5. Step 5: Solve for x
    x = 123,264,803,731.74/473,046.20
  6. Step 6: Final answer
    x = 260,576.67

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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.