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Finding the Fourth Proportional to 470,879.52, 706,406.16 and 155,358.24

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Solution

The fourth proportional to 470,879.52, 706,406.16 and 155,358.24 is: 233,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,879.52 : 706,406.16 = 155,358.24 : x
  2. Step 2: Convert to fraction form
    470,879.52/706,406.16 = 155,358.24/x
  3. Step 3: Cross multiply
    470,879.52x = 706,406.16 × 155,358.24
  4. Step 4: Simplify right side
    470,879.52x = 109,746,017,742.76
  5. Step 5: Solve for x
    x = 109,746,017,742.76/470,879.52
  6. Step 6: Final answer
    x = 233,066.02

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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.