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Finding the Fourth Proportional to 507,862.55, 700,845.85 and 278,415.67

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Solution

The fourth proportional to 507,862.55, 700,845.85 and 278,415.67 is: 384,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,862.55 : 700,845.85 = 278,415.67 : x
  2. Step 2: Convert to fraction form
    507,862.55/700,845.85 = 278,415.67/x
  3. Step 3: Cross multiply
    507,862.55x = 700,845.85 × 278,415.67
  4. Step 4: Simplify right side
    507,862.55x = 195,126,466,894.47
  5. Step 5: Solve for x
    x = 195,126,466,894.47/507,862.55
  6. Step 6: Final answer
    x = 384,211.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.