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Finding the Fourth Proportional to 470,534.77, 705,804.54 and 115,548.93

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Solution

The fourth proportional to 470,534.77, 705,804.54 and 115,548.93 is: 173,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,534.77 : 705,804.54 = 115,548.93 : x
  2. Step 2: Convert to fraction form
    470,534.77/705,804.54 = 115,548.93/x
  3. Step 3: Cross multiply
    470,534.77x = 705,804.54 × 115,548.93
  4. Step 4: Simplify right side
    470,534.77x = 81,554,958,952.83
  5. Step 5: Solve for x
    x = 81,554,958,952.83/470,534.77
  6. Step 6: Final answer
    x = 173,323.98

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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.