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Finding the Fourth Proportional to 480,416.81, 720,654.93 and 160,597.46

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Solution

The fourth proportional to 480,416.81, 720,654.93 and 160,597.46 is: 240,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,416.81 : 720,654.93 = 160,597.46 : x
  2. Step 2: Convert to fraction form
    480,416.81/720,654.93 = 160,597.46/x
  3. Step 3: Cross multiply
    480,416.81x = 720,654.93 × 160,597.46
  4. Step 4: Simplify right side
    480,416.81x = 115,735,347,691.20
  5. Step 5: Solve for x
    x = 115,735,347,691.20/480,416.81
  6. Step 6: Final answer
    x = 240,906.12

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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.