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Finding the Fourth Proportional to 286,864.70, 430,383.45 and 153,808.70

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Solution

The fourth proportional to 286,864.70, 430,383.45 and 153,808.70 is: 230,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,864.70 : 430,383.45 = 153,808.70 : x
  2. Step 2: Convert to fraction form
    286,864.70/430,383.45 = 153,808.70/x
  3. Step 3: Cross multiply
    286,864.70x = 430,383.45 × 153,808.70
  4. Step 4: Simplify right side
    286,864.70x = 66,196,718,946.02
  5. Step 5: Solve for x
    x = 66,196,718,946.02/286,864.70
  6. Step 6: Final answer
    x = 230,759.38

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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.