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Finding the Fourth Proportional to 616,581.44, 924,241.52 and 312,412.14

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Solution

The fourth proportional to 616,581.44, 924,241.52 and 312,412.14 is: 468,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,581.44 : 924,241.52 = 312,412.14 : x
  2. Step 2: Convert to fraction form
    616,581.44/924,241.52 = 312,412.14/x
  3. Step 3: Cross multiply
    616,581.44x = 924,241.52 × 312,412.14
  4. Step 4: Simplify right side
    616,581.44x = 288,744,271,140.05
  5. Step 5: Solve for x
    x = 288,744,271,140.05/616,581.44
  6. Step 6: Final answer
    x = 468,298.67

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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.