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Finding the Fourth Proportional to 589,303.13, 813,200.04 and 347,530.28

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Solution

The fourth proportional to 589,303.13, 813,200.04 and 347,530.28 is: 479,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,303.13 : 813,200.04 = 347,530.28 : x
  2. Step 2: Convert to fraction form
    589,303.13/813,200.04 = 347,530.28/x
  3. Step 3: Cross multiply
    589,303.13x = 813,200.04 × 347,530.28
  4. Step 4: Simplify right side
    589,303.13x = 282,611,633,531.21
  5. Step 5: Solve for x
    x = 282,611,633,531.21/589,303.13
  6. Step 6: Final answer
    x = 479,569.21

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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.