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Finding the Fourth Proportional to 589,605.90, 813,658.84 and 334,971.06

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Solution

The fourth proportional to 589,605.90, 813,658.84 and 334,971.06 is: 462,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,605.90 : 813,658.84 = 334,971.06 : x
  2. Step 2: Convert to fraction form
    589,605.90/813,658.84 = 334,971.06/x
  3. Step 3: Cross multiply
    589,605.90x = 813,658.84 × 334,971.06
  4. Step 4: Simplify right side
    589,605.90x = 272,552,164,113.17
  5. Step 5: Solve for x
    x = 272,552,164,113.17/589,605.90
  6. Step 6: Final answer
    x = 462,261.60

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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.