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Finding the Fourth Proportional to 470,972.92, 706,196.92 and 155,345.08

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Solution

The fourth proportional to 470,972.92, 706,196.92 and 155,345.08 is: 232,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,972.92 : 706,196.92 = 155,345.08 : x
  2. Step 2: Convert to fraction form
    470,972.92/706,196.92 = 155,345.08/x
  3. Step 3: Cross multiply
    470,972.92x = 706,196.92 × 155,345.08
  4. Step 4: Simplify right side
    470,972.92x = 109,704,217,033.15
  5. Step 5: Solve for x
    x = 109,704,217,033.15/470,972.92
  6. Step 6: Final answer
    x = 232,931.05

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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.