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Finding the Fourth Proportional to 289,283.58, 433,994.18 and 120,710.24

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Solution

The fourth proportional to 289,283.58, 433,994.18 and 120,710.24 is: 181,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,283.58 : 433,994.18 = 120,710.24 : x
  2. Step 2: Convert to fraction form
    289,283.58/433,994.18 = 120,710.24/x
  3. Step 3: Cross multiply
    289,283.58x = 433,994.18 × 120,710.24
  4. Step 4: Simplify right side
    289,283.58x = 52,387,538,852.88
  5. Step 5: Solve for x
    x = 52,387,538,852.88/289,283.58
  6. Step 6: Final answer
    x = 181,094.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.