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Finding the Fourth Proportional to 1,078,357.84, 1,617,744.12 and 413,458

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Solution

The fourth proportional to 1,078,357.84, 1,617,744.12 and 413,458 is: 620,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,357.84 : 1,617,744.12 = 413,458 : x
  2. Step 2: Convert to fraction form
    1,078,357.84/1,617,744.12 = 413,458/x
  3. Step 3: Cross multiply
    1,078,357.84x = 1,617,744.12 × 413,458
  4. Step 4: Simplify right side
    1,078,357.84x = 668,869,248,366.96
  5. Step 5: Solve for x
    x = 668,869,248,366.96/1,078,357.84
  6. Step 6: Final answer
    x = 620,266.50

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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.