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Finding the Fourth Proportional to 535,638.47, 803,509.56 and 156,550.68

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Solution

The fourth proportional to 535,638.47, 803,509.56 and 156,550.68 is: 234,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,638.47 : 803,509.56 = 156,550.68 : x
  2. Step 2: Convert to fraction form
    535,638.47/803,509.56 = 156,550.68/x
  3. Step 3: Cross multiply
    535,638.47x = 803,509.56 × 156,550.68
  4. Step 4: Simplify right side
    535,638.47x = 125,789,968,004.50
  5. Step 5: Solve for x
    x = 125,789,968,004.50/535,638.47
  6. Step 6: Final answer
    x = 234,841.18

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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.