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Finding the Fourth Proportional to 1,788,210.11, 2,467,794.85 and 1,024,411.30

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Solution

The fourth proportional to 1,788,210.11, 2,467,794.85 and 1,024,411.30 is: 1,413,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788,210.11 : 2,467,794.85 = 1,024,411.30 : x
  2. Step 2: Convert to fraction form
    1,788,210.11/2,467,794.85 = 1,024,411.30/x
  3. Step 3: Cross multiply
    1,788,210.11x = 2,467,794.85 × 1,024,411.30
  4. Step 4: Simplify right side
    1,788,210.11x = 2,528,036,921,691.29
  5. Step 5: Solve for x
    x = 2,528,036,921,691.29/1,788,210.11
  6. Step 6: Final answer
    x = 1,413,724.77

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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.