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Finding the Fourth Proportional to 4,547,406.96, 6,823,236.69 and 1,988,289.72

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Solution

The fourth proportional to 4,547,406.96, 6,823,236.69 and 1,988,289.72 is: 2,983,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,406.96 : 6,823,236.69 = 1,988,289.72 : x
  2. Step 2: Convert to fraction form
    4,547,406.96/6,823,236.69 = 1,988,289.72/x
  3. Step 3: Cross multiply
    4,547,406.96x = 6,823,236.69 × 1,988,289.72
  4. Step 4: Simplify right side
    4,547,406.96x = 13,566,571,367,853.83
  5. Step 5: Solve for x
    x = 13,566,571,367,853.83/4,547,406.96
  6. Step 6: Final answer
    x = 2,983,364.25

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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.