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Finding the Fourth Proportional to 475,714.80, 656,486.10 and 260,858.34

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Solution

The fourth proportional to 475,714.80, 656,486.10 and 260,858.34 is: 359,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,714.80 : 656,486.10 = 260,858.34 : x
  2. Step 2: Convert to fraction form
    475,714.80/656,486.10 = 260,858.34/x
  3. Step 3: Cross multiply
    475,714.80x = 656,486.10 × 260,858.34
  4. Step 4: Simplify right side
    475,714.80x = 171,249,874,279.07
  5. Step 5: Solve for x
    x = 171,249,874,279.07/475,714.80
  6. Step 6: Final answer
    x = 359,984.33

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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.