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Finding the Fourth Proportional to 616,587.44, 924,250.52 and 312,418.14

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Solution

The fourth proportional to 616,587.44, 924,250.52 and 312,418.14 is: 468,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,587.44 : 924,250.52 = 312,418.14 : x
  2. Step 2: Convert to fraction form
    616,587.44/924,250.52 = 312,418.14/x
  3. Step 3: Cross multiply
    616,587.44x = 924,250.52 × 312,418.14
  4. Step 4: Simplify right side
    616,587.44x = 288,752,628,352.43
  5. Step 5: Solve for x
    x = 288,752,628,352.43/616,587.44
  6. Step 6: Final answer
    x = 468,307.67

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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.