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Finding the Fourth Proportional to 716,714.08, 989,106.24 and 410,841.36

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Solution

The fourth proportional to 716,714.08, 989,106.24 and 410,841.36 is: 566,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,714.08 : 989,106.24 = 410,841.36 : x
  2. Step 2: Convert to fraction form
    716,714.08/989,106.24 = 410,841.36/x
  3. Step 3: Cross multiply
    716,714.08x = 989,106.24 × 410,841.36
  4. Step 4: Simplify right side
    716,714.08x = 406,365,752,826.09
  5. Step 5: Solve for x
    x = 406,365,752,826.09/716,714.08
  6. Step 6: Final answer
    x = 566,984.47

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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.