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Finding the Fourth Proportional to 404,842.40, 607,263.60 and 194,429.60

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Solution

The fourth proportional to 404,842.40, 607,263.60 and 194,429.60 is: 291,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,842.40 : 607,263.60 = 194,429.60 : x
  2. Step 2: Convert to fraction form
    404,842.40/607,263.60 = 194,429.60/x
  3. Step 3: Cross multiply
    404,842.40x = 607,263.60 × 194,429.60
  4. Step 4: Simplify right side
    404,842.40x = 118,070,018,842.56
  5. Step 5: Solve for x
    x = 118,070,018,842.56/404,842.40
  6. Step 6: Final answer
    x = 291,644.40

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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.