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Finding the Fourth Proportional to 4,164,347.81, 5,746,561.53 and 2,303,652.31

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Solution

The fourth proportional to 4,164,347.81, 5,746,561.53 and 2,303,652.31 is: 3,178,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,347.81 : 5,746,561.53 = 2,303,652.31 : x
  2. Step 2: Convert to fraction form
    4,164,347.81/5,746,561.53 = 2,303,652.31/x
  3. Step 3: Cross multiply
    4,164,347.81x = 5,746,561.53 × 2,303,652.31
  4. Step 4: Simplify right side
    4,164,347.81x = 13,238,079,714,408.83
  5. Step 5: Solve for x
    x = 13,238,079,714,408.83/4,164,347.81
  6. Step 6: Final answer
    x = 3,178,908.28

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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.