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Finding the Fourth Proportional to 473,611.86, 710,511.21 and 153,704.12

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Solution

The fourth proportional to 473,611.86, 710,511.21 and 153,704.12 is: 230,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,611.86 : 710,511.21 = 153,704.12 : x
  2. Step 2: Convert to fraction form
    473,611.86/710,511.21 = 153,704.12/x
  3. Step 3: Cross multiply
    473,611.86x = 710,511.21 × 153,704.12
  4. Step 4: Simplify right side
    473,611.86x = 109,208,496,730.63
  5. Step 5: Solve for x
    x = 109,208,496,730.63/473,611.86
  6. Step 6: Final answer
    x = 230,586.49

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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.