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Finding the Fourth Proportional to 423,094.16, 635,263.32 and 174,262.16

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Solution

The fourth proportional to 423,094.16, 635,263.32 and 174,262.16 is: 261,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,094.16 : 635,263.32 = 174,262.16 : x
  2. Step 2: Convert to fraction form
    423,094.16/635,263.32 = 174,262.16/x
  3. Step 3: Cross multiply
    423,094.16x = 635,263.32 × 174,262.16
  4. Step 4: Simplify right side
    423,094.16x = 110,702,358,311.97
  5. Step 5: Solve for x
    x = 110,702,358,311.97/423,094.16
  6. Step 6: Final answer
    x = 261,649.46

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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.