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Finding the Fourth Proportional to 1,423,298.34, 1,964,149.40 and 778,721.09

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Solution

The fourth proportional to 1,423,298.34, 1,964,149.40 and 778,721.09 is: 1,074,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,298.34 : 1,964,149.40 = 778,721.09 : x
  2. Step 2: Convert to fraction form
    1,423,298.34/1,964,149.40 = 778,721.09/x
  3. Step 3: Cross multiply
    1,423,298.34x = 1,964,149.40 × 778,721.09
  4. Step 4: Simplify right side
    1,423,298.34x = 1,529,524,547,976.49
  5. Step 5: Solve for x
    x = 1,529,524,547,976.49/1,423,298.34
  6. Step 6: Final answer
    x = 1,074,633.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.