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Finding the Fourth Proportional to 296,994, 409,851.80 and 162,860.88

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Solution

The fourth proportional to 296,994, 409,851.80 and 162,860.88 is: 224,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,994 : 409,851.80 = 162,860.88 : x
  2. Step 2: Convert to fraction form
    296,994/409,851.80 = 162,860.88/x
  3. Step 3: Cross multiply
    296,994x = 409,851.80 × 162,860.88
  4. Step 4: Simplify right side
    296,994x = 66,748,824,817.58
  5. Step 5: Solve for x
    x = 66,748,824,817.58/296,994
  6. Step 6: Final answer
    x = 224,748.06

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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.