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Finding the Fourth Proportional to 333,688.64, 500,581.76 and 97,000.56

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Solution

The fourth proportional to 333,688.64, 500,581.76 and 97,000.56 is: 145,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,688.64 : 500,581.76 = 97,000.56 : x
  2. Step 2: Convert to fraction form
    333,688.64/500,581.76 = 97,000.56/x
  3. Step 3: Cross multiply
    333,688.64x = 500,581.76 × 97,000.56
  4. Step 4: Simplify right side
    333,688.64x = 48,556,710,560.78
  5. Step 5: Solve for x
    x = 48,556,710,560.78/333,688.64
  6. Step 6: Final answer
    x = 145,515.03

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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.