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Finding the Fourth Proportional to 3,157,017.93, 4,734,054.63 and 1,640,293.11

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Solution

The fourth proportional to 3,157,017.93, 4,734,054.63 and 1,640,293.11 is: 2,459,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,017.93 : 4,734,054.63 = 1,640,293.11 : x
  2. Step 2: Convert to fraction form
    3,157,017.93/4,734,054.63 = 1,640,293.11/x
  3. Step 3: Cross multiply
    3,157,017.93x = 4,734,054.63 × 1,640,293.11
  4. Step 4: Simplify right side
    3,157,017.93x = 7,765,237,191,952.60
  5. Step 5: Solve for x
    x = 7,765,237,191,952.60/3,157,017.93
  6. Step 6: Final answer
    x = 2,459,674.72

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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.