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Finding the Fourth Proportional to 470,528.64, 705,795.32 and 115,542.76

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Solution

The fourth proportional to 470,528.64, 705,795.32 and 115,542.76 is: 173,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,528.64 : 705,795.32 = 115,542.76 : x
  2. Step 2: Convert to fraction form
    470,528.64/705,795.32 = 115,542.76/x
  3. Step 3: Cross multiply
    470,528.64x = 705,795.32 × 115,542.76
  4. Step 4: Simplify right side
    470,528.64x = 81,549,539,267.88
  5. Step 5: Solve for x
    x = 81,549,539,267.88/470,528.64
  6. Step 6: Final answer
    x = 173,314.72

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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.