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Finding the Fourth Proportional to 464,472.23, 696,652.65 and 144,647.10

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Solution

The fourth proportional to 464,472.23, 696,652.65 and 144,647.10 is: 216,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,472.23 : 696,652.65 = 144,647.10 : x
  2. Step 2: Convert to fraction form
    464,472.23/696,652.65 = 144,647.10/x
  3. Step 3: Cross multiply
    464,472.23x = 696,652.65 × 144,647.10
  4. Step 4: Simplify right side
    464,472.23x = 100,768,785,529.82
  5. Step 5: Solve for x
    x = 100,768,785,529.82/464,472.23
  6. Step 6: Final answer
    x = 216,953.31

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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.