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Finding the Fourth Proportional to 415,829, 623,649.43 and 190,973.27

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Solution

The fourth proportional to 415,829, 623,649.43 and 190,973.27 is: 286,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,829 : 623,649.43 = 190,973.27 : x
  2. Step 2: Convert to fraction form
    415,829/623,649.43 = 190,973.27/x
  3. Step 3: Cross multiply
    415,829x = 623,649.43 × 190,973.27
  4. Step 4: Simplify right side
    415,829x = 119,100,370,980.74
  5. Step 5: Solve for x
    x = 119,100,370,980.74/415,829
  6. Step 6: Final answer
    x = 286,416.70

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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.