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Finding the Fourth Proportional to 473,312.22, 710,249.28 and 189,136.98

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Solution

The fourth proportional to 473,312.22, 710,249.28 and 189,136.98 is: 283,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,312.22 : 710,249.28 = 189,136.98 : x
  2. Step 2: Convert to fraction form
    473,312.22/710,249.28 = 189,136.98/x
  3. Step 3: Cross multiply
    473,312.22x = 710,249.28 × 189,136.98
  4. Step 4: Simplify right side
    473,312.22x = 134,334,403,866.37
  5. Step 5: Solve for x
    x = 134,334,403,866.37/473,312.22
  6. Step 6: Final answer
    x = 283,817.74

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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.