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Finding the Fourth Proportional to 595,582.98, 822,002.49 and 434,969.70

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Solution

The fourth proportional to 595,582.98, 822,002.49 and 434,969.70 is: 600,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,582.98 : 822,002.49 = 434,969.70 : x
  2. Step 2: Convert to fraction form
    595,582.98/822,002.49 = 434,969.70/x
  3. Step 3: Cross multiply
    595,582.98x = 822,002.49 × 434,969.70
  4. Step 4: Simplify right side
    595,582.98x = 357,546,176,474.55
  5. Step 5: Solve for x
    x = 357,546,176,474.55/595,582.98
  6. Step 6: Final answer
    x = 600,329.74

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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.