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Finding the Fourth Proportional to 589,460.64, 813,396.24 and 334,762.08

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Solution

The fourth proportional to 589,460.64, 813,396.24 and 334,762.08 is: 461,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,460.64 : 813,396.24 = 334,762.08 : x
  2. Step 2: Convert to fraction form
    589,460.64/813,396.24 = 334,762.08/x
  3. Step 3: Cross multiply
    589,460.64x = 813,396.24 × 334,762.08
  4. Step 4: Simplify right side
    589,460.64x = 272,294,217,166.58
  5. Step 5: Solve for x
    x = 272,294,217,166.58/589,460.64
  6. Step 6: Final answer
    x = 461,937.91

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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.