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Finding the Fourth Proportional to 510,465.08, 704,596.74 and 295,657.88

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Solution

The fourth proportional to 510,465.08, 704,596.74 and 295,657.88 is: 408,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,465.08 : 704,596.74 = 295,657.88 : x
  2. Step 2: Convert to fraction form
    510,465.08/704,596.74 = 295,657.88/x
  3. Step 3: Cross multiply
    510,465.08x = 704,596.74 × 295,657.88
  4. Step 4: Simplify right side
    510,465.08x = 208,319,578,403.31
  5. Step 5: Solve for x
    x = 208,319,578,403.31/510,465.08
  6. Step 6: Final answer
    x = 408,097.61

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