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Finding the Fourth Proportional to 286,397.70, 429,596.55 and 146,429.70

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Solution

The fourth proportional to 286,397.70, 429,596.55 and 146,429.70 is: 219,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,397.70 : 429,596.55 = 146,429.70 : x
  2. Step 2: Convert to fraction form
    286,397.70/429,596.55 = 146,429.70/x
  3. Step 3: Cross multiply
    286,397.70x = 429,596.55 × 146,429.70
  4. Step 4: Simplify right side
    286,397.70x = 62,905,693,937.54
  5. Step 5: Solve for x
    x = 62,905,693,937.54/286,397.70
  6. Step 6: Final answer
    x = 219,644.55

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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.