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Finding the Fourth Proportional to 594,318.90, 820,155.25 and 322,386.14

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Solution

The fourth proportional to 594,318.90, 820,155.25 and 322,386.14 is: 444,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,318.90 : 820,155.25 = 322,386.14 : x
  2. Step 2: Convert to fraction form
    594,318.90/820,155.25 = 322,386.14/x
  3. Step 3: Cross multiply
    594,318.90x = 820,155.25 × 322,386.14
  4. Step 4: Simplify right side
    594,318.90x = 264,406,685,248.24
  5. Step 5: Solve for x
    x = 264,406,685,248.24/594,318.90
  6. Step 6: Final answer
    x = 444,890.25

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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.