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Finding the Fourth Proportional to 353,271, 529,776.90 and 116,543.64

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Solution

The fourth proportional to 353,271, 529,776.90 and 116,543.64 is: 174,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,271 : 529,776.90 = 116,543.64 : x
  2. Step 2: Convert to fraction form
    353,271/529,776.90 = 116,543.64/x
  3. Step 3: Cross multiply
    353,271x = 529,776.90 × 116,543.64
  4. Step 4: Simplify right side
    353,271x = 61,742,128,313.92
  5. Step 5: Solve for x
    x = 61,742,128,313.92/353,271
  6. Step 6: Final answer
    x = 174,772.71

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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.