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Finding the Fourth Proportional to 401,543.76, 602,327.79 and 102,024.39

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Solution

The fourth proportional to 401,543.76, 602,327.79 and 102,024.39 is: 153,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,543.76 : 602,327.79 = 102,024.39 : x
  2. Step 2: Convert to fraction form
    401,543.76/602,327.79 = 102,024.39/x
  3. Step 3: Cross multiply
    401,543.76x = 602,327.79 × 102,024.39
  4. Step 4: Simplify right side
    401,543.76x = 61,452,125,354.80
  5. Step 5: Solve for x
    x = 61,452,125,354.80/401,543.76
  6. Step 6: Final answer
    x = 153,039.67

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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.