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Finding the Fourth Proportional to 309,655.24, 464,689.98 and 112,663.24

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Solution

The fourth proportional to 309,655.24, 464,689.98 and 112,663.24 is: 169,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,655.24 : 464,689.98 = 112,663.24 : x
  2. Step 2: Convert to fraction form
    309,655.24/464,689.98 = 112,663.24/x
  3. Step 3: Cross multiply
    309,655.24x = 464,689.98 × 112,663.24
  4. Step 4: Simplify right side
    309,655.24x = 52,353,478,742.34
  5. Step 5: Solve for x
    x = 52,353,478,742.34/309,655.24
  6. Step 6: Final answer
    x = 169,070.22

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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.