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Finding the Fourth Proportional to 429,784.16, 644,805.02 and 173,484.77

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Solution

The fourth proportional to 429,784.16, 644,805.02 and 173,484.77 is: 260,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,784.16 : 644,805.02 = 173,484.77 : x
  2. Step 2: Convert to fraction form
    429,784.16/644,805.02 = 173,484.77/x
  3. Step 3: Cross multiply
    429,784.16x = 644,805.02 × 173,484.77
  4. Step 4: Simplify right side
    429,784.16x = 111,863,847,799.23
  5. Step 5: Solve for x
    x = 111,863,847,799.23/429,784.16
  6. Step 6: Final answer
    x = 260,279.13

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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.