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Finding the Fourth Proportional to 665,354.06, 917,868.50 and 435,812

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Solution

The fourth proportional to 665,354.06, 917,868.50 and 435,812 is: 601,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,354.06 : 917,868.50 = 435,812 : x
  2. Step 2: Convert to fraction form
    665,354.06/917,868.50 = 435,812/x
  3. Step 3: Cross multiply
    665,354.06x = 917,868.50 × 435,812
  4. Step 4: Simplify right side
    665,354.06x = 400,018,106,722
  5. Step 5: Solve for x
    x = 400,018,106,722/665,354.06
  6. Step 6: Final answer
    x = 601,210.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.