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Finding the Fourth Proportional to 473,505.36, 710,250.84 and 141,081.36

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Solution

The fourth proportional to 473,505.36, 710,250.84 and 141,081.36 is: 211,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,505.36 : 710,250.84 = 141,081.36 : x
  2. Step 2: Convert to fraction form
    473,505.36/710,250.84 = 141,081.36/x
  3. Step 3: Cross multiply
    473,505.36x = 710,250.84 × 141,081.36
  4. Step 4: Simplify right side
    473,505.36x = 100,203,154,448.34
  5. Step 5: Solve for x
    x = 100,203,154,448.34/473,505.36
  6. Step 6: Final answer
    x = 211,619.89

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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.