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Finding the Fourth Proportional to 507,047.64, 760,521.94 and 133,070.64

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Solution

The fourth proportional to 507,047.64, 760,521.94 and 133,070.64 is: 199,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,047.64 : 760,521.94 = 133,070.64 : x
  2. Step 2: Convert to fraction form
    507,047.64/760,521.94 = 133,070.64/x
  3. Step 3: Cross multiply
    507,047.64x = 760,521.94 × 133,070.64
  4. Step 4: Simplify right side
    507,047.64x = 101,203,141,289.84
  5. Step 5: Solve for x
    x = 101,203,141,289.84/507,047.64
  6. Step 6: Final answer
    x = 199,592.96

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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.