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Finding the Fourth Proportional to 288,703.44, 433,035.72 and 101,690.64

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Solution

The fourth proportional to 288,703.44, 433,035.72 and 101,690.64 is: 152,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703.44 : 433,035.72 = 101,690.64 : x
  2. Step 2: Convert to fraction form
    288,703.44/433,035.72 = 101,690.64/x
  3. Step 3: Cross multiply
    288,703.44x = 433,035.72 × 101,690.64
  4. Step 4: Simplify right side
    288,703.44x = 44,035,679,509.66
  5. Step 5: Solve for x
    x = 44,035,679,509.66/288,703.44
  6. Step 6: Final answer
    x = 152,529.11

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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.