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Finding the Fourth Proportional to 582,405.64, 803,595.76 and 340,641

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Solution

The fourth proportional to 582,405.64, 803,595.76 and 340,641 is: 470,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,405.64 : 803,595.76 = 340,641 : x
  2. Step 2: Convert to fraction form
    582,405.64/803,595.76 = 340,641/x
  3. Step 3: Cross multiply
    582,405.64x = 803,595.76 × 340,641
  4. Step 4: Simplify right side
    582,405.64x = 273,737,663,282.16
  5. Step 5: Solve for x
    x = 273,737,663,282.16/582,405.64
  6. Step 6: Final answer
    x = 470,012.04

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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.