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Finding the Fourth Proportional to 519,822, 717,354.54 and 293,482.08

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Solution

The fourth proportional to 519,822, 717,354.54 and 293,482.08 is: 405,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,822 : 717,354.54 = 293,482.08 : x
  2. Step 2: Convert to fraction form
    519,822/717,354.54 = 293,482.08/x
  3. Step 3: Cross multiply
    519,822x = 717,354.54 × 293,482.08
  4. Step 4: Simplify right side
    519,822x = 210,530,702,496.64
  5. Step 5: Solve for x
    x = 210,530,702,496.64/519,822
  6. Step 6: Final answer
    x = 405,005.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.