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Finding the Fourth Proportional to 407,853.84, 611,780.76 and 158,594.16

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Solution

The fourth proportional to 407,853.84, 611,780.76 and 158,594.16 is: 237,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,853.84 : 611,780.76 = 158,594.16 : x
  2. Step 2: Convert to fraction form
    407,853.84/611,780.76 = 158,594.16/x
  3. Step 3: Cross multiply
    407,853.84x = 611,780.76 × 158,594.16
  4. Step 4: Simplify right side
    407,853.84x = 97,024,855,736.36
  5. Step 5: Solve for x
    x = 97,024,855,736.36/407,853.84
  6. Step 6: Final answer
    x = 237,891.24

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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.