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Finding the Fourth Proportional to 496,656.40, 744,984.60 and 260,071.60

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Solution

The fourth proportional to 496,656.40, 744,984.60 and 260,071.60 is: 390,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,656.40 : 744,984.60 = 260,071.60 : x
  2. Step 2: Convert to fraction form
    496,656.40/744,984.60 = 260,071.60/x
  3. Step 3: Cross multiply
    496,656.40x = 744,984.60 × 260,071.60
  4. Step 4: Simplify right side
    496,656.40x = 193,749,336,897.36
  5. Step 5: Solve for x
    x = 193,749,336,897.36/496,656.40
  6. Step 6: Final answer
    x = 390,107.40

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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.