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Finding the Fourth Proportional to 289,470.30, 434,205.45 and 102,500.70

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Solution

The fourth proportional to 289,470.30, 434,205.45 and 102,500.70 is: 153,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,470.30 : 434,205.45 = 102,500.70 : x
  2. Step 2: Convert to fraction form
    289,470.30/434,205.45 = 102,500.70/x
  3. Step 3: Cross multiply
    289,470.30x = 434,205.45 × 102,500.70
  4. Step 4: Simplify right side
    289,470.30x = 44,506,362,568.82
  5. Step 5: Solve for x
    x = 44,506,362,568.82/289,470.30
  6. Step 6: Final answer
    x = 153,751.05

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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.