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Finding the Fourth Proportional to 633,281.72, 949,924.53 and 153,507.65

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Solution

The fourth proportional to 633,281.72, 949,924.53 and 153,507.65 is: 230,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,281.72 : 949,924.53 = 153,507.65 : x
  2. Step 2: Convert to fraction form
    633,281.72/949,924.53 = 153,507.65/x
  3. Step 3: Cross multiply
    633,281.72x = 949,924.53 × 153,507.65
  4. Step 4: Simplify right side
    633,281.72x = 145,820,677,528.03
  5. Step 5: Solve for x
    x = 145,820,677,528.03/633,281.72
  6. Step 6: Final answer
    x = 230,261.94

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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.