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Finding the Fourth Proportional to 296,154.96, 443,767.48 and 201,430.32

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Solution

The fourth proportional to 296,154.96, 443,767.48 and 201,430.32 is: 301,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,154.96 : 443,767.48 = 201,430.32 : x
  2. Step 2: Convert to fraction form
    296,154.96/443,767.48 = 201,430.32/x
  3. Step 3: Cross multiply
    296,154.96x = 443,767.48 × 201,430.32
  4. Step 4: Simplify right side
    296,154.96x = 89,388,225,501.99
  5. Step 5: Solve for x
    x = 89,388,225,501.99/296,154.96
  6. Step 6: Final answer
    x = 301,829.24

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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.