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Finding the Fourth Proportional to 1,430,895.83, 1,974,205.64 and 857,726.87

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Solution

The fourth proportional to 1,430,895.83, 1,974,205.64 and 857,726.87 is: 1,183,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,895.83 : 1,974,205.64 = 857,726.87 : x
  2. Step 2: Convert to fraction form
    1,430,895.83/1,974,205.64 = 857,726.87/x
  3. Step 3: Cross multiply
    1,430,895.83x = 1,974,205.64 × 857,726.87
  4. Step 4: Simplify right side
    1,430,895.83x = 1,693,329,216,606.84
  5. Step 5: Solve for x
    x = 1,693,329,216,606.84/1,430,895.83
  6. Step 6: Final answer
    x = 1,183,404.96

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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.