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Finding the Fourth Proportional to 589,298.40, 813,237.45 and 334,651.41

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Solution

The fourth proportional to 589,298.40, 813,237.45 and 334,651.41 is: 461,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,298.40 : 813,237.45 = 334,651.41 : x
  2. Step 2: Convert to fraction form
    589,298.40/813,237.45 = 334,651.41/x
  3. Step 3: Cross multiply
    589,298.40x = 813,237.45 × 334,651.41
  4. Step 4: Simplify right side
    589,298.40x = 272,151,059,307.30
  5. Step 5: Solve for x
    x = 272,151,059,307.30/589,298.40
  6. Step 6: Final answer
    x = 461,822.16

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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.