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Finding the Fourth Proportional to 596,395.98, 822,964.93 and 354,631.84

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Solution

The fourth proportional to 596,395.98, 822,964.93 and 354,631.84 is: 489,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,395.98 : 822,964.93 = 354,631.84 : x
  2. Step 2: Convert to fraction form
    596,395.98/822,964.93 = 354,631.84/x
  3. Step 3: Cross multiply
    596,395.98x = 822,964.93 × 354,631.84
  4. Step 4: Simplify right side
    596,395.98x = 291,849,564,437.38
  5. Step 5: Solve for x
    x = 291,849,564,437.38/596,395.98
  6. Step 6: Final answer
    x = 489,355.35

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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.