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Finding the Fourth Proportional to 513,263.36, 707,952 and 334,657.28

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Solution

The fourth proportional to 513,263.36, 707,952 and 334,657.28 is: 461,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,263.36 : 707,952 = 334,657.28 : x
  2. Step 2: Convert to fraction form
    513,263.36/707,952 = 334,657.28/x
  3. Step 3: Cross multiply
    513,263.36x = 707,952 × 334,657.28
  4. Step 4: Simplify right side
    513,263.36x = 236,921,290,690.56
  5. Step 5: Solve for x
    x = 236,921,290,690.56/513,263.36
  6. Step 6: Final answer
    x = 461,597.90

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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.