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Finding the Fourth Proportional to 713,018.52, 1,069,529.64 and 180,539.64

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Solution

The fourth proportional to 713,018.52, 1,069,529.64 and 180,539.64 is: 270,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,018.52 : 1,069,529.64 = 180,539.64 : x
  2. Step 2: Convert to fraction form
    713,018.52/1,069,529.64 = 180,539.64/x
  3. Step 3: Cross multiply
    713,018.52x = 1,069,529.64 × 180,539.64
  4. Step 4: Simplify right side
    713,018.52x = 193,092,496,174.93
  5. Step 5: Solve for x
    x = 193,092,496,174.93/713,018.52
  6. Step 6: Final answer
    x = 270,809.93

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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.