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Finding the Fourth Proportional to 314,562.23, 471,663.42 and 145,995.76

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Solution

The fourth proportional to 314,562.23, 471,663.42 and 145,995.76 is: 218,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,562.23 : 471,663.42 = 145,995.76 : x
  2. Step 2: Convert to fraction form
    314,562.23/471,663.42 = 145,995.76/x
  3. Step 3: Cross multiply
    314,562.23x = 471,663.42 × 145,995.76
  4. Step 4: Simplify right side
    314,562.23x = 68,860,859,467.10
  5. Step 5: Solve for x
    x = 68,860,859,467.10/314,562.23
  6. Step 6: Final answer
    x = 218,910.13

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1.5x scale

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.