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Finding the Fourth Proportional to 473,234.20, 710,045.70 and 173,858.20

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Solution

The fourth proportional to 473,234.20, 710,045.70 and 173,858.20 is: 260,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,234.20 : 710,045.70 = 173,858.20 : x
  2. Step 2: Convert to fraction form
    473,234.20/710,045.70 = 173,858.20/x
  3. Step 3: Cross multiply
    473,234.20x = 710,045.70 × 173,858.20
  4. Step 4: Simplify right side
    473,234.20x = 123,447,267,319.74
  5. Step 5: Solve for x
    x = 123,447,267,319.74/473,234.20
  6. Step 6: Final answer
    x = 260,858.72

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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.