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Finding the Fourth Proportional to 589,604.96, 813,657.48 and 334,970.08

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Solution

The fourth proportional to 589,604.96, 813,657.48 and 334,970.08 is: 462,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,604.96 : 813,657.48 = 334,970.08 : x
  2. Step 2: Convert to fraction form
    589,604.96/813,657.48 = 334,970.08/x
  3. Step 3: Cross multiply
    589,604.96x = 813,657.48 × 334,970.08
  4. Step 4: Simplify right side
    589,604.96x = 272,550,911,168.20
  5. Step 5: Solve for x
    x = 272,550,911,168.20/589,604.96
  6. Step 6: Final answer
    x = 462,260.21

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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.