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Finding the Fourth Proportional to 383,681.74, 575,424.40 and 113,746.76

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Solution

The fourth proportional to 383,681.74, 575,424.40 and 113,746.76 is: 170,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,681.74 : 575,424.40 = 113,746.76 : x
  2. Step 2: Convert to fraction form
    383,681.74/575,424.40 = 113,746.76/x
  3. Step 3: Cross multiply
    383,681.74x = 575,424.40 × 113,746.76
  4. Step 4: Simplify right side
    383,681.74x = 65,452,661,124.94
  5. Step 5: Solve for x
    x = 65,452,661,124.94/383,681.74
  6. Step 6: Final answer
    x = 170,591.02

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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.