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Finding the Fourth Proportional to 473,847.26, 710,666.08 and 136,814.77

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Solution

The fourth proportional to 473,847.26, 710,666.08 and 136,814.77 is: 205,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,847.26 : 710,666.08 = 136,814.77 : x
  2. Step 2: Convert to fraction form
    473,847.26/710,666.08 = 136,814.77/x
  3. Step 3: Cross multiply
    473,847.26x = 710,666.08 × 136,814.77
  4. Step 4: Simplify right side
    473,847.26x = 97,229,616,282.00
  5. Step 5: Solve for x
    x = 97,229,616,282.00/473,847.26
  6. Step 6: Final answer
    x = 205,191.89

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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.