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Finding the Fourth Proportional to 464,045.76, 696,105.36 and 148,502.70

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Solution

The fourth proportional to 464,045.76, 696,105.36 and 148,502.70 is: 222,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,045.76 : 696,105.36 = 148,502.70 : x
  2. Step 2: Convert to fraction form
    464,045.76/696,105.36 = 148,502.70/x
  3. Step 3: Cross multiply
    464,045.76x = 696,105.36 × 148,502.70
  4. Step 4: Simplify right side
    464,045.76x = 103,373,525,444.47
  5. Step 5: Solve for x
    x = 103,373,525,444.47/464,045.76
  6. Step 6: Final answer
    x = 222,765.80

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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.