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Finding the Fourth Proportional to 892,878, 1,232,171.64 and 490,470

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Solution

The fourth proportional to 892,878, 1,232,171.64 and 490,470 is: 676,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,878 : 1,232,171.64 = 490,470 : x
  2. Step 2: Convert to fraction form
    892,878/1,232,171.64 = 490,470/x
  3. Step 3: Cross multiply
    892,878x = 1,232,171.64 × 490,470
  4. Step 4: Simplify right side
    892,878x = 604,343,224,270.80
  5. Step 5: Solve for x
    x = 604,343,224,270.80/892,878
  6. Step 6: Final answer
    x = 676,848.60

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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.