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Finding the Fourth Proportional to 589,603.89, 813,656.07 and 334,969.05

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Solution

The fourth proportional to 589,603.89, 813,656.07 and 334,969.05 is: 462,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,603.89 : 813,656.07 = 334,969.05 : x
  2. Step 2: Convert to fraction form
    589,603.89/813,656.07 = 334,969.05/x
  3. Step 3: Cross multiply
    589,603.89x = 813,656.07 × 334,969.05
  4. Step 4: Simplify right side
    589,603.89x = 272,549,600,794.63
  5. Step 5: Solve for x
    x = 272,549,600,794.63/589,603.89
  6. Step 6: Final answer
    x = 462,258.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.