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Finding the Fourth Proportional to 423,041.60, 634,408.80 and 212,609.60

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Solution

The fourth proportional to 423,041.60, 634,408.80 and 212,609.60 is: 318,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,041.60 : 634,408.80 = 212,609.60 : x
  2. Step 2: Convert to fraction form
    423,041.60/634,408.80 = 212,609.60/x
  3. Step 3: Cross multiply
    423,041.60x = 634,408.80 × 212,609.60
  4. Step 4: Simplify right side
    423,041.60x = 134,881,401,204.48
  5. Step 5: Solve for x
    x = 134,881,401,204.48/423,041.60
  6. Step 6: Final answer
    x = 318,837.20

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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.