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Finding the Fourth Proportional to 286,712.70, 430,069.05 and 146,744.70

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Solution

The fourth proportional to 286,712.70, 430,069.05 and 146,744.70 is: 220,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,712.70 : 430,069.05 = 146,744.70 : x
  2. Step 2: Convert to fraction form
    286,712.70/430,069.05 = 146,744.70/x
  3. Step 3: Cross multiply
    286,712.70x = 430,069.05 × 146,744.70
  4. Step 4: Simplify right side
    286,712.70x = 63,110,353,721.54
  5. Step 5: Solve for x
    x = 63,110,353,721.54/286,712.70
  6. Step 6: Final answer
    x = 220,117.05

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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.