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Finding the Fourth Proportional to 415,935.40, 623,903.10 and 409,714.60

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Solution

The fourth proportional to 415,935.40, 623,903.10 and 409,714.60 is: 614,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,935.40 : 623,903.10 = 409,714.60 : x
  2. Step 2: Convert to fraction form
    415,935.40/623,903.10 = 409,714.60/x
  3. Step 3: Cross multiply
    415,935.40x = 623,903.10 × 409,714.60
  4. Step 4: Simplify right side
    415,935.40x = 255,622,209,055.26
  5. Step 5: Solve for x
    x = 255,622,209,055.26/415,935.40
  6. Step 6: Final answer
    x = 614,571.90

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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.