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Finding the Fourth Proportional to 468,000.10, 702,000.15 and 289,929.70

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Solution

The fourth proportional to 468,000.10, 702,000.15 and 289,929.70 is: 434,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,000.10 : 702,000.15 = 289,929.70 : x
  2. Step 2: Convert to fraction form
    468,000.10/702,000.15 = 289,929.70/x
  3. Step 3: Cross multiply
    468,000.10x = 702,000.15 × 289,929.70
  4. Step 4: Simplify right side
    468,000.10x = 203,530,692,889.46
  5. Step 5: Solve for x
    x = 203,530,692,889.46/468,000.10
  6. Step 6: Final answer
    x = 434,894.55

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1.5x scale

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.