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Finding the Fourth Proportional to 665,352.06, 917,865.75 and 435,810

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Solution

The fourth proportional to 665,352.06, 917,865.75 and 435,810 is: 601,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,352.06 : 917,865.75 = 435,810 : x
  2. Step 2: Convert to fraction form
    665,352.06/917,865.75 = 435,810/x
  3. Step 3: Cross multiply
    665,352.06x = 917,865.75 × 435,810
  4. Step 4: Simplify right side
    665,352.06x = 400,015,072,507.50
  5. Step 5: Solve for x
    x = 400,015,072,507.50/665,352.06
  6. Step 6: Final answer
    x = 601,208.14

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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.