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Finding the Fourth Proportional to 422,693.50, 634,123.14 and 156,456.28

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Solution

The fourth proportional to 422,693.50, 634,123.14 and 156,456.28 is: 234,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,693.50 : 634,123.14 = 156,456.28 : x
  2. Step 2: Convert to fraction form
    422,693.50/634,123.14 = 156,456.28/x
  3. Step 3: Cross multiply
    422,693.50x = 634,123.14 × 156,456.28
  4. Step 4: Simplify right side
    422,693.50x = 99,212,547,546.32
  5. Step 5: Solve for x
    x = 99,212,547,546.32/422,693.50
  6. Step 6: Final answer
    x = 234,715.10

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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.