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Finding the Fourth Proportional to 463,077.60, 695,005.20 and 210,746.40

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Solution

The fourth proportional to 463,077.60, 695,005.20 and 210,746.40 is: 316,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,077.60 : 695,005.20 = 210,746.40 : x
  2. Step 2: Convert to fraction form
    463,077.60/695,005.20 = 210,746.40/x
  3. Step 3: Cross multiply
    463,077.60x = 695,005.20 × 210,746.40
  4. Step 4: Simplify right side
    463,077.60x = 146,469,843,881.28
  5. Step 5: Solve for x
    x = 146,469,843,881.28/463,077.60
  6. Step 6: Final answer
    x = 316,296.54

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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.