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Finding the Fourth Proportional to 851,565, 1,175,106.06 and 488,733.50

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Solution

The fourth proportional to 851,565, 1,175,106.06 and 488,733.50 is: 674,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,565 : 1,175,106.06 = 488,733.50 : x
  2. Step 2: Convert to fraction form
    851,565/1,175,106.06 = 488,733.50/x
  3. Step 3: Cross multiply
    851,565x = 1,175,106.06 × 488,733.50
  4. Step 4: Simplify right side
    851,565x = 574,313,691,699.48
  5. Step 5: Solve for x
    x = 574,313,691,699.48/851,565
  6. Step 6: Final answer
    x = 674,421.44

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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.