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Finding the Fourth Proportional to 564,814.40, 847,221.60 and 190,837.40

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Solution

The fourth proportional to 564,814.40, 847,221.60 and 190,837.40 is: 286,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,814.40 : 847,221.60 = 190,837.40 : x
  2. Step 2: Convert to fraction form
    564,814.40/847,221.60 = 190,837.40/x
  3. Step 3: Cross multiply
    564,814.40x = 847,221.60 × 190,837.40
  4. Step 4: Simplify right side
    564,814.40x = 161,681,567,367.84
  5. Step 5: Solve for x
    x = 161,681,567,367.84/564,814.40
  6. Step 6: Final answer
    x = 286,256.10

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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.