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Finding the Fourth Proportional to 488,199.40, 732,018.47 and 260,214.17

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Solution

The fourth proportional to 488,199.40, 732,018.47 and 260,214.17 is: 390,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199.40 : 732,018.47 = 260,214.17 : x
  2. Step 2: Convert to fraction form
    488,199.40/732,018.47 = 260,214.17/x
  3. Step 3: Cross multiply
    488,199.40x = 732,018.47 × 260,214.17
  4. Step 4: Simplify right side
    488,199.40x = 190,481,575,586.16
  5. Step 5: Solve for x
    x = 190,481,575,586.16/488,199.40
  6. Step 6: Final answer
    x = 390,171.67

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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.