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Finding the Fourth Proportional to 595,864.82, 822,298.78 and 323,933.24

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Solution

The fourth proportional to 595,864.82, 822,298.78 and 323,933.24 is: 447,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,864.82 : 822,298.78 = 323,933.24 : x
  2. Step 2: Convert to fraction form
    595,864.82/822,298.78 = 323,933.24/x
  3. Step 3: Cross multiply
    595,864.82x = 822,298.78 × 323,933.24
  4. Step 4: Simplify right side
    595,864.82x = 266,369,908,053.45
  5. Step 5: Solve for x
    x = 266,369,908,053.45/595,864.82
  6. Step 6: Final answer
    x = 447,030.77

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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.