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Finding the Fourth Proportional to 595,715.64, 822,095.91 and 323,783.46

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Solution

The fourth proportional to 595,715.64, 822,095.91 and 323,783.46 is: 446,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,715.64 : 822,095.91 = 323,783.46 : x
  2. Step 2: Convert to fraction form
    595,715.64/822,095.91 = 323,783.46/x
  3. Step 3: Cross multiply
    595,715.64x = 822,095.91 × 323,783.46
  4. Step 4: Simplify right side
    595,715.64x = 266,181,058,191.65
  5. Step 5: Solve for x
    x = 266,181,058,191.65/595,715.64
  6. Step 6: Final answer
    x = 446,825.70

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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.