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Finding the Fourth Proportional to 437,973.46, 656,959.10 and 105,549.46

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Solution

The fourth proportional to 437,973.46, 656,959.10 and 105,549.46 is: 158,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,973.46 : 656,959.10 = 105,549.46 : x
  2. Step 2: Convert to fraction form
    437,973.46/656,959.10 = 105,549.46/x
  3. Step 3: Cross multiply
    437,973.46x = 656,959.10 × 105,549.46
  4. Step 4: Simplify right side
    437,973.46x = 69,341,678,247.09
  5. Step 5: Solve for x
    x = 69,341,678,247.09/437,973.46
  6. Step 6: Final answer
    x = 158,323.93

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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.