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Finding the Fourth Proportional to 291,722.30, 437,583.45 and 70,106.30

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Solution

The fourth proportional to 291,722.30, 437,583.45 and 70,106.30 is: 105,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,722.30 : 437,583.45 = 70,106.30 : x
  2. Step 2: Convert to fraction form
    291,722.30/437,583.45 = 70,106.30/x
  3. Step 3: Cross multiply
    291,722.30x = 437,583.45 × 70,106.30
  4. Step 4: Simplify right side
    291,722.30x = 30,677,356,620.74
  5. Step 5: Solve for x
    x = 30,677,356,620.74/291,722.30
  6. Step 6: Final answer
    x = 105,159.45

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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.