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Finding the Fourth Proportional to 405,614.64, 607,992.93 and 152,785.74

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Solution

The fourth proportional to 405,614.64, 607,992.93 and 152,785.74 is: 229,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,614.64 : 607,992.93 = 152,785.74 : x
  2. Step 2: Convert to fraction form
    405,614.64/607,992.93 = 152,785.74/x
  3. Step 3: Cross multiply
    405,614.64x = 607,992.93 × 152,785.74
  4. Step 4: Simplify right side
    405,614.64x = 92,892,652,004.79
  5. Step 5: Solve for x
    x = 92,892,652,004.79/405,614.64
  6. Step 6: Final answer
    x = 229,017.01

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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.