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Finding the Fourth Proportional to 595,683.52, 822,048.64 and 323,752.06

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Solution

The fourth proportional to 595,683.52, 822,048.64 and 323,752.06 is: 446,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,683.52 : 822,048.64 = 323,752.06 : x
  2. Step 2: Convert to fraction form
    595,683.52/822,048.64 = 323,752.06/x
  3. Step 3: Cross multiply
    595,683.52x = 822,048.64 × 323,752.06
  4. Step 4: Simplify right side
    595,683.52x = 266,139,940,838.38
  5. Step 5: Solve for x
    x = 266,139,940,838.38/595,683.52
  6. Step 6: Final answer
    x = 446,780.77

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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.